The ratio between sides of a rectangle is 2:3. Il area is 96 m². Then find the perimeter ?
Answers
Answer:
40m
Step-by-step explanation:
let sides of a rectangle is 2x and 3x
area of rectangle=96 m²
area of rectangle= length × breadth
2x × 3x =96
6x² =96
x² =96/6
x²= 16
x²= (4)²
x = 4
then side of rectangle is
2x =2 ×4= 8 breadth
3x= 3×4= 12 length
perimeter of rectangle= 2(length+breadth)
= 2(12 +8)
= 2×20 = 40m
Answer is 40m
step 1- Let the side of rectangle be 2x and 3x
step2- Area= l×b = 96 m square
step3-6x square =96 m square
step4-x square=96/6=16
step4-x=√16=4
step5- then side of rectangle is
breadth = 2x =2×4= 8m
length= 3x= 3×4= 12m
perimeter. =2(l+b)
=2(12+8)
=2×20=40m answer