Question

The length of a rectangle is (X + 8) and its width is (x - 3).
Find the value of x if the perimeter of the rectangle is 40 cm.
What are the dimensions of the rectangle?
x=
Width=
Length=
Enter all non-integer answers as improper fractions without spaces.

Answer 1

Answer:

given,

length(l)= x+8

breadth(b) = x-3

here,

perimeter = 40

or, 2(l+b) = 40

or, 2(x+8+x-3)=40

or,2(2x+5)=40

or,4x+10=40

or, 4x=40-10

or,4x=30

or,x=30÷4

or,x=15/2

in decimal, x=7.5

now,

length=x+8

= 15/2+8

31/2cm.

in decimal length is 15.5 cm.

width= x-3

=15/2-3

=9/2 cm.

In decimal, width is 4.5 cm.