Miles has a square garden in his backyard. He decides to decrease the size of the garden by 1 foot on each side in order to make a gravel border. After he completes his gravel border, the area of the new garden is 25 feet2. In the equation (x - 1)2 = 25, x represents the side measure of the original garden. Whats the length and area?

Question

contestada

Respuesta :

calculista calculista · Answer 1 · 2018-10-16T04:08:02+02:00

Let

x-------> the length side of the original square garden

Step 1

Find the value of x

we know that

[tex](x-1)^{2}=25[/tex]

taking square root both sides

[tex](x-1)=(+/-)\sqrt{25}[/tex]

[tex](x-1)=(+/-)5[/tex]

[tex]x1=1+5=6\ ft[/tex]

[tex]x2=1-5=-4\ ft[/tex]

the solution is

[tex]x=6\ ft[/tex]

therefore

the answer Part a) is

The original length side of the square garden is [tex]6\ ft[/tex]

Step 2

Find the area of the original square garden

we know that

the area of the original square garden is equal to

[tex]A=x^{2}[/tex]

substitute the value of x in the formula

[tex]A=6^{2}=36\ ft^{2}[/tex]

therefore

the answer part b) is

the area of the original square garden is [tex]36\ ft^{2}[/tex]

juliamartinez1028 juliamartinez1028 · Answer 2 · 2019-09-26T19:55:04+02:00

Answer:

6 and 36

Step-by-step explanation:

Answer Link