Question

A path of uniform width runs around and outside a square plot of side 25 m. If the area of the path is 216 m2 then its width is (0) 2 m (2) 4 m (3) 3 m (4) 8 m ​

Answer 1

Explanation:

Side of square plot = 25 m

Let the width of the path be = x

Area of the path:

Area of the whole plot (inclu. the path) - Area of the plot = 216

=》 \sf{(x + 25)^{2} - 25^{2} = 216}(x+25)

2

−25

2

=216

=》 \sf{x^{2} + 50x - 216 = 0}x

2

+50x−216=0

Values of x = 4, (-54)

=》 Since the side can't be negative, side = 4m

Answer 2

Answer:

Explanation:

path of uniform width runs around and outside a square plot of side 25 m. If the area of the path is 216 m2 then its width is (0) 2 m (2) 4 m (3) 3 m (4) 8 m