Answer:
r = 6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
PR² = PQ² + QR² , substitute values
(r + 4)² = r² + 8²
r² + 8r + 16 = r² + 64 ( subtract r² from both sides )
8r + 16 = 64 ( subtract 16 from both sides )
8r = 48 ( divide both sides by 8 )
r = 6
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Answer:
Area = 114
Step-by-step explanation:
We first must find the area of the larger outside rectangle.
Area = length × width
15 × 8 = 120
Then we find the area of the smaller inside rectangle.
4 × 1.5 = 6
Since the small rectangle is not shaded we have to subtract its area from the larger shaded rectangle's area.
120 - 6 = 114
Answer:
A. 7
Step-by-step explanation: