Question

A person walked 50 ft. to cross

a rectangular field
diagonally. If the width of field is 30ft, its length is?
A) 40 ft
B) 30 ft
C) 100 ft
D) 6oft​

Answer 1

B) 40 ft

Explanation:

Use the picture for a reference.

1. We can see the diagonal forms a triangle. Since the angles of a rectangle are right, we can use the Pythagorean Theorem to solve for x.

2. The Pythagorean Theorem

a^2 (a squared) + b^2 (b squared) = c^2 (c squared)

a = 30 ft (width)

b = x ft (unknown length)

c = 50 ft (diagonal)

3. Substitute in the values:

30^2 + x^2 = 50^2

900 + x^2 = 2500

x^2 = 1600

x = 40

The length of the field is 40 ft.