Choose the problem modeled by the picture. A) 1 3 × 3 2 = 3 6 B) 1 4 × 3 6 = 3 24 C) 3 4 × 1 6 = 3 24 D) 1 3 × 3 4 = 3 12
2 answers:
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Answer:
Area of rectangle PLUM = 75.00 square units
Step-by-step explanation:
Since diagonal of rectangle divides the rectangle into two equal triangles,
Therefore, area of the rectangle PLUM = 2× area of triangle PLM
By the mean proportional theorem,
In ΔPLM,
AP² = AM × AL
6² = AM × 8
AM =
AM = 4.5 units
Area of PLM =
=
=
= 12.5 × 3
= 37.5 units²
Now area of rectangle PLUM = 2×37.5 = 75 units²
Therefore, area of the rectangle is 75.00 square units.