Answer:
a) 4d + 18
b) 38 inches
Step-by-step 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
