Question

The area of a rectangular plot is 460 m sq. If the length is 15% more than its breadth, find the perimeter of the plot.​

Answer 1

Answer:

Area A of the rectangular plot = Length x Beadth …………………………………….(1)

Given, length is 15% more than the breadth.

That is, Length = Breadth + (15/100) breadth

= Breadth + .15 x Breadth = (1.15)Breadth

∴ A = 1.15 x Breadth x Breadth = 1.15 x (Breadth)² ………………………………….…(2)

Given, A = 460 square meters

Substituting in (2),

460 = 1.15 (Breadth)²

Or, 460/1.15 = 1.(Breadth)² [Dividing both sides by 1.15]

Or, (Breadth)² = 460/1.5 = 400 = 20² square meter

Taking square root,

Breadth = ±20 meter

Since length is always a positive quantity, we discard the negative value to get

Breadth = 20 meter