In ACDE, the measure of ZE=90°, DE = 2.1 feet, and CD = 4.4 feet. Find the measure
1 answer:
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Since the figure is a parallelogram, then SP=RQ, and SR=PQ.
To find SR, we draw right triangle SAR, as shown in the picture, where the coordinates of A are clearly (-3, -2).
Thus, we can see that SA=4 units, and AR=4 units. By the Pythagorean theorem,
Similarly, to find SP, which is equal to QR, we draw the triangle PBS, where the coordinates of B are (-2, 2).
Clearly, PB=3 and SB=1, thus using the Pythagorean theorem in right triangle PBS:
units.
The perimeter of the parallelogram is SP+RQ+SR+PQ=
.
Answer: second choice
To find SR, we draw right triangle SAR, as shown in the picture, where the coordinates of A are clearly (-3, -2).
Thus, we can see that SA=4 units, and AR=4 units. By the Pythagorean theorem,
Similarly, to find SP, which is equal to QR, we draw the triangle PBS, where the coordinates of B are (-2, 2).
Clearly, PB=3 and SB=1, thus using the Pythagorean theorem in right triangle PBS:
The perimeter of the parallelogram is SP+RQ+SR+PQ=
Answer: second choice