Question

Mr. Nelson is buying property in the shape of a triangle to build a new house. If the property costs $42.50 per square foot, how much will he pay?

Answer 1

To find the area of a triangle, multiply the base by the height and divide by 2.
The figure shows a base of 98 ft and a height of 47 ft.

$A = \dfrac{bh}{2}$

$A = \dfrac{98~ft \times 47~ft}{2}$

$A = 2,303 ~ft^2$

Now that we know the area, we multiply it by the cost of the land per square foot.

2,303 ft^2 * $42.50/ft^2 = $97,877.50

He must pay $97,877.50

Answer 2

First, you find the area of the figure. Use the formula a=h(b/2)

a=h(b/2)
a=47(98/2)
a=47(49)
a=2303

Now, you multiply that by $42.50 to find out how much he will pay. 

2,303x42.50=97,877.50.

He will pay $97,877.50.