The corresponding sides of two similar rectangles are 14 ft and 8 ft. The area of the smaller rectangle is 57 ft2. To the nearest whole number, what is the area of the larger rectangle?

Question

Mathematics

Anise

28 January, 18:58

The corresponding sides of two similar rectangles are 14 ft and 8 ft. The area of the smaller rectangle is 57 ft2. To the nearest whole number, what is the area of the larger rectangle?

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Answers (2)

Know the Answer?

Hana Mcconnell · Answer 1

Hana Mcconnell 28 January, 19:10

0

The anwser is 172 ft^2

Jaliyah Hopkins · Answer 2

Assume they are right triangles, find the other side of the smaller triangle

2 (57/8) = 14.25 sq/ft: (.5*14.25*8=57).

Find the other side of the larger triangle, using corresponding sides in

similar triangles

*14.25 = 24.9375

Find the area of the larger triangle

.5*14*24.9375 = 174.5625 sq/ft area of the larger triangle.