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Chapter 2: Q. 551 (page 217)

The length of a rectangle is 12 cm more than the width. The perimeter is 74 cm. Find the length and the width.

Short Answer

Expert verified

The length and width of the rectangle is 24.5 cm and 12.5 cm respectively .

Step by step solution

01

Step 1. Given Information.

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

Perimeter = 74

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

So, L = W+12 ; 2(L+B)=74

02

Step 2. Solving for length and width .

Considering the equation:-

L=W+12(1)2(L+W)=74(2)

From equation(1) , substitute the value of L in equation (2) , we get:-

2(W+12+W)=742(2W+12)=744W+24=744W=50W=12.5

03

Step 3. Solve for the value of Length .

Now , Substitute the value of W=12.5 in equation (1) , we get:-

L=12.5+12L=24.5

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