Question

by how many times is the area of rectangle increased if it is made twice as long and three times as broad​

Answer 1

Step-by-step explanation:

Length=10cm

breadth=8cm

Perimeter=2(10+8)cm

=36cm

length=(10cm+x)

breadth=(8cm+x)

Perimeter=2(10+x+8+x)cm

=2(2x+18)cm

=4x+36cm

let 4x+36cm be equation 1

Given perimeter=2×36

=72cm

let 72 be equation 2

therefore,from equation 1 and equation 2 we get 4x+36=72

4x=72-36

x=36/4

x=9

therefore length of the new rectangle=10+9=19cm

breadth of the new rectangle= 8+9=17cm

Area of a rectangle=(l×b)

Area of the new rectangle=(19×17)cm^2

=323cm^2