A rectangular flower garden has an area of 32 square feet. If the width of the garden is 4 feet less than the
length, what is the perimeter, in feet, of the garden?
O 24
028
O 32
O 36

Draw a rectangle. We can say that the length of the rectangle is x. We know that the width is 4 feet less than the length, so set the other side to x-4.

Now, multiply length and width to find what x is with the given area.

[tex]x(x-4)=32\\x^{2} -4x-32=0\\(x-8)(x+4)=0\\x=8, -4[/tex]

However, we cannot have a negative side length, so we will disregard x = -4.

Now that we have what x is, we can find each side length:

[tex]x = 8\\x-4 = 4[/tex]

Finally, find the perimeter with these values:

[tex]P = 8+4+8+4=24[/tex]

A rectangular flower garden has an area of 32 square feet. If the width of the garden is 4 feet less than the length, what is the perimeter, in feet, of the garden? O 24 028 O 32 O 36

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A rectangular flower garden has an area of 32 square feet. If the width of the garden is 4 feet less than the
length, what is the perimeter, in feet, of the garden?
O 24
028
O 32
O 36