joanasprinkman2262

06.01.2021 •

Mathematics

Help please:) and explain answer (30 points) 17. A rectangular garden has a perimeter of 120 feet.
The length of the garden is 24 feet greater than
twice the width. The system of linear
2e + 2w = 120
- 2w = 24
represents this situation, where l is the
length of the garden and w is its width.
Find the length and width of the garden.
equations

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Ответ:

nel83

20.02.2022

Mathematics

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

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

Task 1 a real state company sells plots of land.the plot shown at the right cost $84,120. what is th

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