Ms Susan is making a scale model of her classroom. The scaled down room is 10 1⁄4 inches by 8 inches. If 1 inch represents 2.5 feet of the room, what is the actual area of the room?

Q: George is creating a garden that will have an area of 300 square feet. He is trying to decide if he…

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Q: Vernon drew an 8 in. by 5in. tall picture that will be turned into a 48ft wide billboard. How tall…

A: Given query is to find the height of the Billboard.

Q: Find the length of the missing leg of a right triangle whose hypotenuse measures 15.4 cm and whose…

A: Pythagorean theorem: - The square of the hypotenuse side of a trigon is adequate to the sum of…

Q: Kianna's aquarium is “box-shaped" with dimensions of 2 ft by 1 ft by 8 in. What is the water…

A: The dimensions of the box-shaped aquarium 2 ft by 1 ft by 8 in. l=2 ftw=1 ft h=8 in

Q: The diameter of a circle is 8 inches. What is the area?

A: Given : The diameter of the circle is d = 8 in

Q: Toni’s table is 96 inches in diameter. If she covers her circular table with a table cloth that…

A: The table cloth will be obviously circular in shape. It's radius will be 6 inches more than the…

Q: On the side of the panel, a bright yellow triangle is painted whose sides measure 2 feet, 3.5 feet,…

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Q: A square stepping stone has a side length of 10; inches. What is the area of the stepping stone?

A: Given Data: The side length of the stepping stone is: x=1014 in The area of the square stepping sone…

Q: The scale on a house blueprint shows that 1 inch equals 4 feet. The length of the garage on the…

A: We can find the actual length as below

Q: The diameter of a circle is 20 kilometers. What is the area?

A: Solution: The objective is to find the area of the circle

Q: The scale on a map of Texas is 1 cm represents 25 miles. The actual distance from Houston to Dallas…

A: Use proportionality.

Q: Andre wants to put a carpet down on a circular room that has a diameter of 14 feet. How many square…

A: We need to calculate the area of the room.

Q: What is the court size in square meters if the drawing is 20 centimeters by 40 centimeters and uses…

A: Use the scale ratio to determine the length and width of the court. scale:145Thus, 1 cm on…

Q: On a map, the scale is 1 inch : 150 miles. The border between two states is 5.5 inches long on the…

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Q: The

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Q: The local park has a rectangular flower bed that measures 10 feet by 15 feet. The caretaker plans on…

A: (2) Given Data: The length of the flower bed is: L=10 ft The width of the flower bed is: W=15 ft The…

Q: On a scale drawing of a soccer field, 1 inch equals 8 feet. What is the actual area of the soccer…

A: Since a soccer field is a shaped like rectangle so the field must have length and width. The length…

Q: A shop in the mall is 8 yards by 12 yards. How much would it cost to recarpet the shop with carpet…

A: A shop in the mall is 8 yards by 12 yards. Means, length = 12 yards and  breadth = 8 costs of carpet…

Q: A digital image that is 3 1/3 inches by 4 2/3 inches on a computer screen is enlarged to make print…

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Q: Harold is 5 feet 3 inches tall.  What is the height rounded off to the nearest whole centimeters?

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Q: Maggie has a part time job on campus mowing lawns. If it takes her 1 1/5 hours to mow a 40,000…

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Q: The seniors at our high school decided to play a prank on the principal by completely filling his…

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Q: Ileana buys a large circular pizza that is divided into eight equal slices. She measures along the…

A: Given: The pizza is divided into 8 equal slices. The length of arc is, L=512=112 Since, each angle,…

Q: The scale on a road map is 1 inch = 40 miles. What is the actual length of a road that measures 822…

A: Given scale is for representing very long length in terms of short scale.

Q: On the blueprint of a house, 35 millimeters represents 10 meters. The actual length of the living…

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Q: A right triangle has a perimeter of 36 inches, a leg of 9 inches and a hypotenuse of 15 inches. 1…

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Q: What size would you see on the box for a television whose screen measures 43 inches wide by 25…

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Q: The circumference of a circle is 97 cm. What is the area, in square centimeters? Express your answer…

A: Use area formula to calculate

Q: The area of a triangle is 36 inches squared and its base measures 12 inches. What is the height of…

A: We have to find the height of the triangle.

Q: The distance between two cities is 325 miles. If the scale on the map reads 1inch = 50 miles, what…

A: Given that, the distance between two cities is 325 miles. If the scale on the map reads 1 inch= 50…

Q: One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the…

A: Solution:-

Q: A rectangle measures 3 - inches by 2- inches. What is its area? )

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Q: A contractor is building the base of a circular fountain. On the blueprint, the base of the fountain…

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Q: A house is on a 80,000 sq ft lot. About how many acres is the lot?

A: It is given that a house is on a 80,000 sq ft lot. It is known that 1 acre equals to 43560 sq. feet.

Q: A circular pizza that is 18 inches in diameter is cut into 8 equal slices. What is the area of one…

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Q: The drama department at McHenry High School has built a stage floor in the shape of a regular…

A: In an octagon, there are 8 equal sides. If we divided an octagon into 8 equal part in shape of…

Q: The distance around a building is 3/4 of a mile. On a map, the scale is 1/4 inch= 1/2 mile. What is…

A: The distance around a building is 3/4 of a mile Given scale : 14inch=12mile

Q: You and your friends are sharing a pizza with a radius of 7 inches. If there are 5 of you, how much…

A: Radius of Pizza =r=7 inches Formula for area of circle=πr2

Q: A living room is 7.2 m long and 4.5 m wide. What size would it be on a plan drawn to a scale of…

A: This is a problem of counting.

Q: A 24 in diameter wheel travels 300 inches. How many turns does it make?

A: The diameter of the wheel is given as 24 inches. Thus, the radius (r) of the wheel will be 12…

Q: The diameter of a wound is 50mm.  What is the diameter of the wound measured in inches?

A: Given Diameter of  wound  is   50 mm

Q: A person weighs 210 pounds and needs to get down to 168 pounds. What pecent of their weight do they…

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Q: An asteroid has hit the Earth and created a huge crater. Engineers and scientists have measured…

A: Circumference of crater=79.5 mi 2πr=79.5r=79.52πr=12.659 mi

Q: A 55-in TV measures 55 inches along its diagonal (corner to corner measure). If that TV is 33.4…

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Q: The diameter of a circle is 4 meters. What is the area?

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Q: On a map, the scale is 1inch = 12 miles. If the distance between two towns on the map is !! 4.5…

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Q: José made a scale model to compare the Petronas Towers, which are 1483 feet tall, to the Empire…

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Q: Paula designed a garden bed in the shape of an irregular prism. It took 5 cubic feet of dirt to…

A: Volume = (lenght)(width)(height)  Area= (length)(width) => Volume= (Area)(height)

Q: The Johnsons are planning to build a 4 foot wide brick walkway around their rectangular garden which…

A: Given that the length of a rectangular(l) garden is 18 feet and the width(w) is 28 feet. So, the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.