Question

. If

the perimeter of a rectangle is 36m, and length and breath is (x+1m) and (x+5)m respectively, find its area.​

Answer 1

77 m^2.

Explanation:

Perimeter = 2 * (length + breadth)

36 = 2(x + 1 + x + 5)

36 = 2(2x + 6)

36 = 4x + 12

4x = 24

x = 6

So breadth = 6 +1 = 7 and

length = 6 + 5 = 11 m.

Area = length * breadth = 7 * 11

= 77 m^2

Answer 2

77

Explanation:

solution

Perimeter of a rectangle (P) = 36 m

length (l) = (x+1) m

breadth (b) = (x+5) m

Area (A)= ?

We know that ;

P = 2(l+b)

or,36 = 2(x+1+x+5)

or,36 = 2 (2x+6)

or, 18 = 2x+6

or,18 - 6 = 2x

or, 12 = 2x

x = 6

length (l) = (x+1) = 6+1 = 7 m

breadth (b) = (x+5) = 6+5 = 11 m

Now;

Area (A) = l × b

= 7 × 11

= 77 square m