Question

Q33 If the difference between the length and breadth of a rectangle is 40 m and its area is 500 m², then calculate the perimeter of the rectangle.
w
Ops: A. 0 450 m
B.
O 120 m
C.
300 m
D.
O 350 m​

Answer 1

Answer:

Step-by-step explanation:

l-b=20

Area =400 sqare meters

What is the perimeter of a rectangle?

Area of a rectangle =l b

=(20+b) (b ) =20b+b^2=400

(b^2+20b-400) =0

b=[ 20+ -- (400 +1600] /2

= [20+ — (2000)^1/2 ]/2

=[20+ — (141.42) ] /2

b1 =(20+142)/2 =162/2 = 81

b2 = (20--142)/2 = --61

Negative value rejected

b1=81

l-b=20

l=20+81=101

Perimeter of rectangle =2(l+b)

= 2(101+81) =2×182=364 cm