The length of a rectangle is three times its width. It the perimeter is 84 m. find the length of the rectangle
Answers
Answer:
ANSWER
We have,
Let, width=xm
∴3xm
Given, rectangle=84m
2(length+width)=84
2(3x+x)=84
2×4x=84
8x=84
x=
8
84
x=
2
21
x=10.5m
Width of rectangle, x=10.5m
Length of rectangle 3x
=3×10.5m
=31.5m
✪ Question ✪
The length of a rectangle is three times its width. If the perimeter is 84 m, find the length of the rectangle.
✪ Given ✪
- The length of a rectangle is three times its width.
- The perimeter is 84 m.
✪ To find ✪
The length of the rectangle.
✪ Formula ✪
Area of a rectangle
= 2×(length + width) unit
✪ Solution ✪
Let the width be x m.
So, length = 3x m.
According to condition,
2×(3x + x) = 84
↝2×4x = 84
↝8x = 84
↝x = 84/8
↝x = 10.5
✪ Hence ✪
x = 10.5
So, width = x m = 10.5 m
and length = 3x m = (3×10.5) m = 31.5 m
✪ Therefore ✪
The length of the rectangle is 31.5 m.
-------------------------------------------------------------
✪ Verification ✪
2×(length + width) = 84
↝2×(31.5 + 10.5) = 84
↝2×42 = 84
↝84 = 84
So, L.H.S = R.H.S.
Hence, verified.
๑ Hope this helps you. ๑