the length of a rectangle is 3 more inches than its width. find the length and width of the rectangle with a perimeter of 54 inches

Perimeter of a rectangle = 2 ( l + b )

Let the width of the rectangle be w .

Then , the length of the rectangle = w + 3

Given :-

Perimeter of the rectangle = 54 inches

Length and breadth of the rectangle :-

Which means :-

The width of this rectangle :-

The length of this rectangle :-

Let us check whether we have found out the correct measurement of length and width or not by checking whether they form the given perimeter :-

LHS = RHS , which means we have found out the correct measurement of the length and width of this rectangle .

Therefore , the length of this rectangle = 15 inches and the width of this rectangle = 12 inches .

this answer is !

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true