Question

A rectangle has a perimeter of 60 cm. If the length is
reduced by 7 cm and the breadth is increased by
7 cm, the rectangle is made into a square.
What are the dimensions of the original rectangle?
Length =
cm
Breadth =
cm​

Answer 1

Step-by-step explanation:

Let the original length be l and breadth be b

Given:- Perimeter=60

2(l+b)=60

l+b=30_____(1)

Now length is reduced to 7 and breadth is increased by 7 to make square

So l¹=l-7 and b¹=b+7

Since it's a square

l¹=b¹

l-7=b+7

l-b=14____(2)

(1)+(2)=> l+b+l-b=30+14

2l=44

l=22. Length=22cm

(1)-(2)=>l+b-l+b=30-14

2b=16

b=8. Breadth=8cm

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