Question

Task 1 a Real State company sells plots of land.The plot shown at the right cost $84,120. What is the price per square foot of the land?

Answer 1

Answer:

The price is $1.6 per square foot of the land

Step-by-step explanation:

step 1

Find the area of the plot of land

we know that

The area of the plot of land is equal to the area of trapezoid 1 plus the area of trapezoid 2

see the attached figure to better understand the problem

Remember that

The area of a trapezoid is equal to

$A=\frac{1}{2}[b1+b2]h$

Find the area of trapezoid 1

we have

$b1=125\ ft$

$b2=265\ ft$

$h=260-150=110\ ft$

substitute

$A1=\frac{1}{2}[125+265](110)$

$A1=21,450\ ft^{2}$

Find the area of trapezoid 2

we have

$b1=150\ ft$

$b2=265\ ft$

$h=150\ ft$

substitute

$A2=\frac{1}{2}[150+265](150)$

$A2=31,125\ ft^{2}$

The area total of the land is

$A=A1+A2$

$A=21,450+31,125=52,575\ ft^{2}$

step 2

Find the price per square foot of the land

Divide the total cost by the total area

$\frac{84,120}{52,575}=1.6\frac{\ }{ft^{2}}$