Question

length of a rectangle exceeds its breadth by 4m if the perimeter to the rectangle 84m find its lengths and breath​

Answer 1

Step-by-step explanation:

Given :-

length of a rectangle exceeds its breadth by 4m if the perimeter to the rectangle 84m.

To find :-

find its lengths and breath?

Solution :-

Let the breadth of the rectangle be X m

Then the length of the rectangle = (X+4)m

Perimeter of the rectangle=2(l+b) units

=>Perimeter=2(X+4+X) m

=>Perimeter=2(2X+4) m

=>Perimeter=(4X+8) m

According to the given problem,

Perimeter of the given rectangle = 84 m

=>4X+8=84

=>4X =84-8

=>4X=76

=>X=76/4

=>X=19

Breadth =19 m

Length =X+4=19+4=23 m

Answer :-

Length of the rectangle = 23 m

Breadth of the rectangle = 19 m

Check :-

Length =23m

=>Length = 19+4 m

=>Length = Breadth +4 m

Perimeter=2(23+19)

=>Perimeter=2(42)=84 m

Verified the given relations.

Used formula:-

Length and breadth of a rectangle are "l" and "b" units then the perimeter of the rectangle is 2(l+b) units.