Question

A rectangle is 5 cm long and 3 cm wide. Its perimeter is doubled when each of its sides is increased by x cm. Find an equation in x and its new length​

Answer 1

Answer:

14.5cm

Step-by-step explanation:

Perimeter of rectangle =2(l+b)

=2(8+5)cm=26cm

New length =(8+x)cm

New Breadth =(5+x)cm

Given 2(8+x+5+x)=26+2x

⇒2(13+2x)=52⇒13+2x=

2

52

=26

⇒2x=13⇒x=

2

13

=6.5cm

Therefore New Length =(8+6.5)cm =14.5cm