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Solve. L A rectangle is three times as long as it is wide. If its length and width are both decreased by 2 cm, its area is decreased by 36 cm2. Find its original dimensions. Make a sketch as in Oral Exercise 2. 2. A rectangle is twice as long

Solve. L A rectangle is three times as long as it is wide. If its length and width are both decreased by 2 cm, its area is decreased by 36 cm2. Find its original dimensions. Make a sketch as in Oral Exercise 2. 2. A rectangle is twice as long

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section: Chapter Questions
Problem 10MPS
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3. X+3 x+- Problems Solve. 4LA rectangle is three times as long as it is wide. If its length and width are both decreased by 2 cm, its area is decreased by 36 cm2. Find its original dimensions. Make a sketch as in Oral Exercise 2. 2. A rectangle is twice as long as it is wide. If both its dimensions are in- creased by 4 m, its area is increased by 88 m². Make a sketch as in Oral Exercise 1. Find the dimensions of the original rectangle. 3. A rectangular swimming pool is three times as long as it is wide and is surrounded by a deck 2.5 m wide. Find the dimensions of the pool if the area of the deck is 265 m2. 4. A poster is 25 cm taller than it is wide. It is mounted on a piece of card- board so that there is a 5 cm border on all sides. If the area of the border alone is 1350 cm2, what are the dimensions of the poster? 5. A brick patio is twice as long as it is wide. It is bordered on all sides by a garden 1.5 m wide. Find the dimensions of the patio if the area of the gar- den is 54 m2. 0. A house has two rooms of equal area. One room is square and the other room is a rectangle 4 ft narrower and 5 ft longer than the square one. Find the area of each room. . A small city park consists of a rectangular lawn surrounded on all sides by a 330 m² border of flowers 2.5 m wide. Find the area of the lawn if the entire park is 5 m longer than it is wide. Polyno
Transcribed Image Text:3. X+3 x+- Problems Solve. 4LA rectangle is three times as long as it is wide. If its length and width are both decreased by 2 cm, its area is decreased by 36 cm2. Find its original dimensions. Make a sketch as in Oral Exercise 2. 2. A rectangle is twice as long as it is wide. If both its dimensions are in- creased by 4 m, its area is increased by 88 m². Make a sketch as in Oral Exercise 1. Find the dimensions of the original rectangle. 3. A rectangular swimming pool is three times as long as it is wide and is surrounded by a deck 2.5 m wide. Find the dimensions of the pool if the area of the deck is 265 m2. 4. A poster is 25 cm taller than it is wide. It is mounted on a piece of card- board so that there is a 5 cm border on all sides. If the area of the border alone is 1350 cm2, what are the dimensions of the poster? 5. A brick patio is twice as long as it is wide. It is bordered on all sides by a garden 1.5 m wide. Find the dimensions of the patio if the area of the gar- den is 54 m2. 0. A house has two rooms of equal area. One room is square and the other room is a rectangle 4 ft narrower and 5 ft longer than the square one. Find the area of each room. . A small city park consists of a rectangular lawn surrounded on all sides by a 330 m² border of flowers 2.5 m wide. Find the area of the lawn if the entire park is 5 m longer than it is wide. Polyno
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