9514 1404 393
Answer:
(d) 588 square units
Explanation:
You can get the same answer a couple of ways.
1. Enlarge each of the dimensions by a factor of 3.5, then figure the area.
8 ⇒ 3.5×8 = 28
6 ⇒ 3.5×6 = 21
Area = LW = 28×21 = 588 . . . square units
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2. Find the area of the given figure, and multiply that by the square of the scale factor:
Area = LW × (scale)² = (8×6)×3.5² = 48×12.25 = 588 . . . square units
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If you look carefully at the first calculation, you see it is identical to the second.
(8×3.5) × (6×3.5) = (8×6) × (3.5×3.5) = (8×6)×3.5²