Question

A campsite in the shape of a rectangle FGHI has sides (3x+6)m and (x+1) m , and the length of the diagonal FH is (4x+1) m . Find the are of the campsite

Answer 1

168 is area aply pythagoras.

Answer 2

Answer:168m²

Step-by-step explanation:

Using Pythagoras theorem,

Diagonal² = length² + breadth²

(4x+1)²=(3x+6)²+(x+1)²

16x²+8x²+1 = 10x²+38x+37

6x²-30x-36=0

x²-5x-6=0

x=6 or x= -1 (rejected as length can't be negative)

Length of the campsite = (3*6)+6=24m

Breadth of campsite = (6+1) = 7m

Area = 24*7 = 168m².