Question

A rectangular garden is divided into two sections as shown.

The diagonal of the garden, which is twice the length of the shorter edge of the
garden, is 10 feet. How long is the length of the longer edge of the garden?

Answer 1

Explanation:

Pythagoras (for right-angled triangles) :

c² = a² + b²

c being the Hypotenuse, the side opposite of the right angle. and that would be here the diagonal.

c = diagonal = 10 ft

therefore, the width of the rectangle is 10/2 = 5 ft

10² = 5² + b²

100 = 25 + b²

b² = 75

b = length = sqrt(75) = 8.660254038... ft