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Vsevolod [243]
3 years ago
8

A contractor is building a fenced-in area at a daycare. The area will be rectangular with the length of its base equal to half t

he length of the height. The total area will be 5000 square feet. Determine the length of fencing the contractor will use
Mathematics
1 answer:
AlladinOne [14]3 years ago
6 0

Answer:

The length of fencing will be 300\ ft

Step-by-step explanation:

Step 1

Find the dimensions of the rectangle

we know that

The area of a rectangle is equal to

A=bh

In this problem we have

A=5,000\ ft^{2}

so

5,000=bh -----> equation A

b=\frac{h}{2} -----> equation B

Substitute equation B in equation A

5,000=(\frac{h}{2})h

10,000=h^{2}

square root both sides

h=100\ ft

Find the value of b

b=\frac{h}{2} -----> b=\frac{100}{2}=50\ ft

step 2

Find the length of fencing

The perimeter of a rectangle is equal to

P=2(b+h)

we have

h=100\ ft

b=50\ ft

substitute

P=2(50+100)=300\ ft

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