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Greeley [361]
2 years ago
11

A square purple rug has a orange square in the center. The side length of the orange square is x inches. The width of the purple

band that surrounds the orange square is 12 in. What is the area of the purple band?
Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
4 0

Answer:

578 + 48 square inches

Step-by-step explanation:

The computation of the area of the purple band is as follows:

Area of the green square = side^2 = x^ square inches

And, the area of the orange square = side^2

The side would be = = 12 + 12 +x  = 24 + x

And, now the area would be = (x + 24)^2

Now the area of the orange band is

= Area of the orange square  area of the green square

= (x + 24)^2 - x^2

= x^2 + 24^2 + 48  - x^2

= 578 + 48 square inches

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Answer:

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Part 2) The function of the Second graph is f(x)=-2(x-1)(x+3)

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See the attached figure

Step-by-step explanation:

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Part 1) First graph

we know that

The solutions or zeros of the first graph are

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Part 2) Second graph

we know that

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x=-3 and x=1

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therefore

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Part 3) Third graph

we know that

The solutions or zeros of the first graph are

x=-2 and x=6

The parabola open up, so the leading coefficient a is positive

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The vertex is equal to the point (2,-8)

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3 years ago
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Hey there!

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