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Chapter 2: Q. 552 (page 217)

The width of a rectangle is three more than twice the length. The perimeter is 96 inches. Find the length and the width.

Short Answer

Expert verified

The length and width of the rectangle is 15 inches and 33 inches respectively .

Step by step solution

01

Step 1. Given Information.

Let length of rectangle be L and width of rectangle be W .

Perimeter = 96 inches

The formula for perimeter of rectangles is 2(L+B).

So, W=2L+3 ; 2(L+B)=96

02

Step 2. Solving for length and width .

Considering the equation:-

W=2L+3(1)2(L+W)=96(2)

From equation(1) , Substitute the value of W in equation (2) , we get:-

2(L+2L+3)=962(3L+3)=963L+3=483L=45L=15

03

Step 3. Solve for the value of Width .

Now , Substitute the value of L=15 in equation (1) , we get:-

W=2脳15+3W=30+3W=33

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