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Sever21 [200]
3 years ago
12

A rectangular yard measuring

Mathematics
1 answer:
aliina [53]3 years ago
7 0
The entire yard is 36x54 so you would draw a rectangle with those measurements, since there is a border of 3 you should draw another rectangle in the middle with measurements 6 less than the original. 30x48
since you are finding the area of the walk, you would find the larger area, then subtract the smaller rectangle

(36*54)-(30*48)
1944-1440
504 square feet of walk
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ANSWER

w = (x - 8)

EXPLANATION

The given rectangle has area,

A = {x}^{2} - x - 72 \: {m}^{2}

It was given to us that, the length of the rectangle is l=(x+8)

To find the width, we need to factor, the expression for the area.

We split the middle term to get,

A = {x}^{2} - 9x + 8x- 72

We now factor by grouping;

A = x(x - 9) + 8(x- 9)

A = (x + 8)(x - 9)

We know that area of a rectangle is

A = l \times w

Hence the width of the rectangle is,

w = (x - 8)
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Answer:

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Step-by-step explanation:

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