menu
bartleby
search
close search
Hit Return to see all results

WHat are the dimensions of a rectangle whose perimeter is 56ft. and whose area is 180 sq. ft.?

Question

WHat are the dimensions of a rectangle whose perimeter is 56ft. and whose area is 180 sq. ft.?

check_circleAnswer
Step 1

Let x and y be the length and breadth of rectangle respectively. Firsstly, we use the formula for perimeter of rectangle which is 2(length+breadth) to get first equation in x and y

Perimeter 2(x y)
2(x+y) 56
x y 28
y 28-x
help_outline

Image Transcriptionclose

Perimeter 2(x y) 2(x+y) 56 x y 28 y 28-x

fullscreen
Step 2

Now we use formula for area of triangle which ids length* breadth to get another equation.

Area= xy
xy = 180
help_outline

Image Transcriptionclose

Area= xy xy = 180

fullscreen
Step 3

Now we solve the two equations to...

ху %3D 180
x(28-х) - 180
28х - х? - 180
x? - 28х+180 3D0
х-18х —10х + 180- 0
(х -18) (х-10) -0
х%3D10,18
х%3D 10%3D у%3D28-х %3D28-10 %3D 18
х 3D18> у%3D28-х %3D 28-18 %3D 10
help_outline

Image Transcriptionclose

ху %3D 180 x(28-х) - 180 28х - х? - 180 x? - 28х+180 3D0 х-18х —10х + 180- 0 (х -18) (х-10) -0 х%3D10,18 х%3D 10%3D у%3D28-х %3D28-10 %3D 18 х 3D18> у%3D28-х %3D 28-18 %3D 10

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Algebra

Related Algebra Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: find the weighted average of these values. find the weighted average of these values.  value :      ...

A: The weighted average is the sum of the product of each value and its weight factor.Multiply each val...

question_answer

Q: The number of crimes that occurred in a certain city per 1000 people had decreased from 45.1 in 1920...

A: Numbers of crimes per thousand people in 1920 (N1) = 45.1And, Numbers of crimes per thousand people ...

question_answer

Q: Given the function h(a) = 9a2 + 46a, solve for h(a) = -5.

A: The function is h(a) = 9a2 +46a  and the condition is h(a) = -5.

question_answer

Q: The relationship between the balance B (in dollars) left on a mortgage loan and N, the number of mon...

A: To work out the balance (B) after the specified number of years , using the formula relating the mor...

question_answer

Q: Joel can run around a 1/4 - mi track in 78 sec, and Jason can run around the track in 72 sec. if the...

A: Here,

question_answer

Q: I need help solving the algebra problem  (x/x-1) - (x-1/x^2 -1) = (5/x+1)    I don't know  how to be...

A: Firstly , we use the formula x^2-a^2=(x-a)(x+a) to factorise x^2-1

question_answer

Q: Determine all positive number replacements​ (less than the​ modulus) for the question mark that make...

A: Let the required number be x , where x<1 .

question_answer

Q: (x + 12) + y + Z for x = -23, Y =-5, and Z =_10

A: Given, 

question_answer

Q: find the value of x so that the slope of the line through the points (x,-3) and (4,5) is 2/3

A: Given information:The slope of line is 2/3.The given points are (x,-3) and (4,5).

Sorry about that. What wasn’t helpful?