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

Answer:

$A_X=\frac{15x^2}{16}$

Step-by-step explanation:

From the question we are told that:

Base of Flower bed $b=\frac{x}{2}$

Height of Flower bed $h=\frac{x}{4}$

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

 $A_f=b*h$

 $A_f=\frac{1}{2}*\frac{x}{2}*\frac{x}{4}$

 $A_f=\frac{x^2}{16}$

Therefore

 $A_X= A_g - A_f$

 $A_X=x^2-\frac{x^2}{16}$

 $A_X=\frac{15x^2}{16}$