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Veronika [31]
3 years ago
11

Can some1 help plz?

Mathematics
1 answer:
Alchen [17]3 years ago
8 0

Answer:

The length of the fence needed to surround this garden is 188\ m

Step-by-step explanation:

Let

x----> the length of the rectangular fence

y----> the width of the rectangular fence

we know that the area of the rectangular fence is equal to

A=xy

A=2,184\ m^{2}

so

2,184=xy -----> equation A

we have

x=10+y -----> equation B

Substitute equation B in equation A

2,184=(10+y)y

y^{2}+10y-2,184=0

using a graphing tool

solve the quadratic equation

The solution is y=42\ m

see the attached figure

Find the value of x

x=10+y ----> x=10+42=52\ m

Find the perimeter of the rectangular fence

The perimeter is equal to

P=2(x+y)

substitute the values

P=2(52+42)=188\ m

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