2. The length of a rectangle is 5 cm more than its width. If the perimeter of the rectangle
is 40 cm, find the area of the rectangle.

Respuesta :

Answer:

93.75 cm^2

Step-by-step explanation:

The breadth = x cm

length=x+5 cm

perimeter =2 (l+b) which becomes

2 (x+5+x)=4x+10 cm:

4x+10=40

4x=30

x=30/4=7.5

so, breadth = 7.5 cm

length = 12.5 cm,

area = 12.5*7.5 = 93.75

Step-by-step explanation:

perimeter of the rectangle= 2(length+width)

let the known width be 'x'

length be 5+x

40 = 2(5+x+x)

40 = 10+2x+2x

40-10 = 4x

30/4 = 4x/4

x = 7.5

width=7.5cm

length= 7.5+5 = 12.5cm

area = length×width

area = 12.5×7.5 = 93.75cm²