Question

The area of a rectangle is 112 cm2. If the breadth of the rectangle is 7 cm, find its length and the perimeter.








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Answer 1

Area/breadth = Length

2x(l+b) = perimeter

Answer 2

SOLUTION

GIVEN

• The area of a rectangle is 112 cm²

• The breadth of the rectangle is 7 cm

TO DETERMINE

The length and the perimeter.

EVALUATION

Here it is given that the area of a rectangle = A = 112 cm²

Now the breadth of the rectangle is = B = 7 cm

Let the length = L cm

So by the given condition

L × B = A

$\sf{ \implies \: L \times 7 = 112}$

$\sf{ \implies \: L = 16}$

Hence the required length = 16 cm

Now the perimeter

= 2 × ( L + B )

= 2 × ( 16 + 7 ) cm

= 2 × 23 cm

= 46 cm

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