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Chapter 11: Q31. (page 427)

A rectangle having area392m2is twice as long as it is wide. Find its dimensions.

Short Answer

Expert verified

The dimensions are28m脳14m .

Step by step solution

01

Step 1. Given information.

Area of the rectangleA=392m2 .

Length is twice as its width.

02

Step 2. Concept  Used.

If b is the width of the rectangle and i is the length of the rectangle.

Then, the area of the rectangle isA=l脳b

03

Step 3. Let’s calculate the dimensions and area of the rectangle.

According to the given situation, length is twice as its width i.e.

l=2b

The area of the rectangle;

A=l脳b392=(2b)脳b392=2b2b2=3922b2=196b=196b=14m

Let鈥檚 calculate the length of the rectangle.

l=2(14)=28m

Therefore, the dimensions of the rectangle is28m脳14m .

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