length of a rectangle exceeds its breadth by 5 metre if the perimeter of a rectangle is 90 find the length and breadth
Answers
Explanation:
let the common multiple be 'g'
length of rectangle=(5+g)
breadth of rectangle=g
perimeter of rectangle =90 units
perimeter of rectangle=2(l+b)
=2[(5+g)+g]
=2 (6g)
=12g
90=12g
90/12=g
7.5=g
breadth of rectangle=g
=7.5 units
length of rectangle =(5+g)
=(5+7.5)
=12.5 units
Answer:
Let the breadth be x
Length=x+5
Perimeter=90 ( given)
Also,
Perimeter of rectangle=2(l+b)
90=2×( x+5+ x)
90=2×2x+5
90=20x
90/20=x
4.5= x
Breadth=4.5
Length= 4.5+5
= 9.5