The perimeters of two similar quadrilaterals are 48 cm and 60 cm, respectively. If the area of the smaller quadrilateral is 96 c
m2, find the area of the larger quadrilateral.
1 answer:
To answer this question set up a ratio of the perimeter to the area for the small quadrilateral (48 cm:96 square cm). Create an equivalent ratio with the perimeter of the larger quadrilateral to the area of the larger a quadrilateral (60 cm:x square cm). Use cross products to answer this. See the attached work.
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Answer:
Step-by-step explanation:
The complete question is shown in the attachment.
The length of the rectangle is x + 12. The width of the rectangle is x + 3.
Recall that area of a rectangle is
In terms of x, the area is
Recall the distributive property of real numbers:
We apply this property to get:
We expand again to get:
We now simplify to obtain:
The area of the rectangle is
