Question

A rectangular field is 50 m long and 30 m wide. There is a walking path of uniform width around its outer edges. If the area of the path is 425 m2, find the width of the path.

Answer 1

Answer:

rectangular field 70m long and 50m wide has a path of uniform width around it . if the area of the path is 1024 sq.m.find the width of the path

Draw the picture of a rectangle inside a rectangle.

The area of the inner rectangle is 70*50 = 3500 sq. meters

Area of the outer rectangle = (70+2x)(50+2x) = 4X^2 + 240x + 3500

Equation:

Outer area - Inner area = 4x^2+ 240x = 1024

x^2+60x-256 = 0

(x-4)(x+64) = 0

Positive Solution:

x = 4 meters.

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