Question

Can some1 help plz?

Answer 1

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

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