Which type of transformation is shown? The transformation is a
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We know that the width of the garden is = feet = 6.75 feet
and Perimeter of the garden is = 37.5 feet
Also, we know that for a rectangular space perimeter = 2 * (l + w)
⇒ 37.5 = 2 * (l + 6.75)
⇒ 37.5 = 13.5 + 2*l
⇒ 24 = 2*l
⇒ l = 12 feet
Now, we need to determine how much square feet of mulch is required, hence we need to calculate the area of the garden
Area = l * w
⇒ Area = 12 * 6.75
⇒ Area = 81 square feet
Hence, they require 81 square feet of mulch
SOLUTION
Write out the equation
To solve this system of equation, the aprropriate method will be substitution
Substitute the expression for y into the second equation for y, we have
Expand the paranthesis we have
Divide both sides by 4, we have
Since the value of x has been obtained, we substitute into the first equation
Therefore
x = -3, y= -4