Question

A yard in the shape of a square measures a ft on each side. A flower bed is dug up in the shape of a triangle with a/4 ft height of the triangle and a/2 ft base of the triangle. How much yard area is left over?

Answer 1

`A_X=(15x^2)/(16)`

Explanation:

From the question we are told that:

Base of Flower bed
`b=(x)/(2)`

Height of Flower bed
`h=(x)/(4)`

Generally the equation for Area of garden left A_X is mathematically given by

`A_X=Area\ of\ Garden\ A_g\ - Area\ of\ flower\ bed\ A_f`

Where

`A_f=b*h`

`A_f=(1)/(2)*(x)/(2)*(x)/(4)`

`A_f=(x^2)/(16)`

Therefore

`A_X= A_g - A_f`

`A_X=x^2-(x^2)/(16)`

`A_X=(15x^2)/(16)`