Math, asked by sais102948, 4 months ago

A rectangle is 12 cm long and 9 cm wide. Its perimeter is doubled when each of its sides is increased by a fixed length.
What is the new length of the rectangle?

Answers

Answered by tanujagautam107
2

Answer:

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Step-by-step explanation:

length=12cm

breadth=9cm

Perimeter=2(12+9)cm

=42cm

length=(12cm+x)

breadth=(9cm+x)

Perimeter=2(12+x+9+x)cm

=2(2x+21)cm

=4x+42cm

let 4x+42cm be equation 1

Given perimeter=2×42

=84cm

let 84 be equation 2

therefore,from equation 1 and equation 2 we get 4x+42= 84

4x=84-42

x=42/4

x=10.5

therefore length of the new rectangle=12+10.5=22.5cm

breadth of the new rectangle= 9+10.5=19.5cm

Area of a rectangle=(l×b)

Area of the new rectangle=(22.5×19.5)cm^2

438.75cm^2 is the new rectangle

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