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50 POINTS!

a) Write a polynomial for the perimeter of this shape. Simplify the polynomial. (The polynomial is in the photo)

b) Determine the perimeter of the shape when d = 5 m.

50 POINTS! a) Write a polynomial for the perimeter of this shape. Simplify the polynomial-example-1

2 Answers

3 votes

AnswerAnswer:

a) 4d + 18

b) 38 inches

Explanation:

a) The perimeter is simply the sum of all the exterior side lengths.

On the top, we've got d and d + 3.

On the left side, we have 2 and an unknown. However, we do know that this "unknown" + 2 will be the same length as the right side, which is 6. So, we have 2 + unknown = 6; hence, the unknown = 4.

The bottom is the same length as the top two lengths, so it's:

d + (d + 3) = 2d + 3

And, the right side is 6.

Adding these together, we have:

d + (d + 3) + 2 + 4 + d + (d + 3) + 6 = 4d + 18

b) We just need to substitute 5 in for d:

4d + 18

4 * 5 + 18 = 20 + 18 = 38 inches

Explanation:

User AMagic
by
7.8k points
3 votes

Answer:

a) 4d + 18

b) 38 inches

Explanation:

a) The perimeter is simply the sum of all the exterior side lengths.

On the top, we've got d and d + 3.

On the left side, we have 2 and an unknown. However, we do know that this "unknown" + 2 will be the same length as the right side, which is 6. So, we have 2 + unknown = 6; hence, the unknown = 4.

The bottom is the same length as the top two lengths, so it's:

d + (d + 3) = 2d + 3

And, the right side is 6.

Adding these together, we have:

d + (d + 3) + 2 + 4 + d + (d + 3) + 6 = 4d + 18

b) We just need to substitute 5 in for d:

4d + 18

4 * 5 + 18 = 20 + 18 = 38 inches

User Comamitc
by
8.2k points

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