Answer with step-by-step explanation:
Let the width of the rectangle be x.
Given that,
length ⇒ 4
width ⇒ x + 4 ( Because, the rectangle's width is 4 more than the length.)
Perimeter ⇒ 36cm
The formula to find the perimeter of rectangle is:
P = 2 ( l + w )
Now to find the value of x replace P, l & w with 36, 4 & (x + 4) with respectively.
P = 2 ( l + w )
36 = 2 ( 4 + x + 4 )
36 = 2 ( x + 8 )
Solve the brackets.
36 = 2x + 16
Substract 16 from both sides.
36 - 16 = 2x
20 = 2x
Divide both sides by 2.
10 = x
And now let us find the exact dimensions of the rectangle.
Length = 4 cm
Width = x + 4 = 10 + 4 = 14 cm