Answer with Step-by-step explanation:
Let the width of rectangle be x
The length is 70 yd longer than the width.
i.e. Length= 70+x
The perimeter of a rectangular field is 340 yd.
We know that perimeter of rectangle= 2(Length+Width)
340= 2(70+x+x)
Dividing both sides by 2, we get
170= 70+x+x
i.e. 170= 70+2x
Subtracting both sides by 70, we get
100=2x
or 2x=100
Dividing both sides by 2, we get
x=50
Hence, Width of rectangle= 50 yd
Length= 70+50 yd
= 120 yd
Hence, smaller side is width of rectangle= 50 yd
and larger side is length of rectangle= 120 yd
