A worksheet has a perimeter of 44 inches. its area is 112 square inches. what are the dimensions of the worksheet?
1 answer:
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Answer: 10 miles
Explanation:
We define the following resting spots
A = resting spot whose coordinate is (2,2)
B = resting spot whose coordinate is (2,4)
C = resting spot whose coordinate is (5,2)
D = resting spot whose coordinate is (5,4)
If you plot A, B, C, D, you will notice that
(Perimeter of the trail) = 2[(distance from A to C) + (distance from A to B)]
Note that A and C have the same y-coordinates (second number in their ordered pairs), so the distance from A to C is computed as the difference of their x-coordinates (first number in their ordered pairs). Thus,
(distance from A to C) = 5 - 2 = 3
Moreover, A and B have the same x-coordinates and so we compute the distance from A to B as the difference of their y-coordinates. Then,
(distance from A to B) = 4 - 2 = 2
Hence,
(Perimeter of the trail) = 2[(distance from A to C) + (distance from A to B)]
= 2[2 + 3]
= 2(5)
(Perimeter of the trail) = 10 miles
Explanation:
We define the following resting spots
A = resting spot whose coordinate is (2,2)
B = resting spot whose coordinate is (2,4)
C = resting spot whose coordinate is (5,2)
D = resting spot whose coordinate is (5,4)
If you plot A, B, C, D, you will notice that
(Perimeter of the trail) = 2[(distance from A to C) + (distance from A to B)]
Note that A and C have the same y-coordinates (second number in their ordered pairs), so the distance from A to C is computed as the difference of their x-coordinates (first number in their ordered pairs). Thus,
(distance from A to C) = 5 - 2 = 3
Moreover, A and B have the same x-coordinates and so we compute the distance from A to B as the difference of their y-coordinates. Then,
(distance from A to B) = 4 - 2 = 2
Hence,
(Perimeter of the trail) = 2[(distance from A to C) + (distance from A to B)]
= 2[2 + 3]
= 2(5)
(Perimeter of the trail) = 10 miles