Question

The diagonal of a rectangular field is 15 m and its area is 108 m2. Find the cost of fencing it the field at the rate of 50.50 per metre,​

Answer 1

Step-by-step explanation:

Let the length of the rectangle= A

and width = B

Area of the rectangle= A×B = 108m²

By Pythagoras theorem=

• A²+ B²= 15²
• A²+ B²= 225

The value of A and B must be like that So the A²+B²= 225 and the product of A×B must be 108m²

By hit and trial method

• A= 12m
• B=9m

Perimeter of the rectangle = Length of the Fencing path

Perimeter

= (2L+2B)m

= (2×12+2×9)m

= 42m

Cost of fencing

= 42×50.50

=2121 Ans