Question

perimeter of rectangular piece of land is 130m and area is 1000 determine the dimensions

Answer 1

Hi ,

Let the dimensions of rectangular

piece ,

Length = l m

Breadth = b m

Perimeter = 130 m

2 ( l + b ) = 130

l + b = 65 -----( 1 )


Area = 1000 m²

lb = 1000 ---( 2 )

( l - b )² = ( l + b )² - 4lb

= ( 65 )² - 4 × 1000

= 4225 - 4000

= 225

l - b = √ 225

l - b = 15 -----( 2 )

Add ( 1 ) and ( 2 ) equations , we get

2l = 80

l = 40 m

Put l = 40 in equation ( 2 ) , we get

40 × b = 1000

b = 1000/40

b = 25 m

Therefore ,

l = 40 m

b = 25 m

I hope this helps you.

:)

Answer 2

Answer:

length =40 and breadth=20