Question

Frederick used all his tiles to make a mosaic that was in the shape of a rhombus with a base of 10 inches and a height of 8 inches. Carrie has the same number of tiles as Frederick. She wants to use all of her tiles to make a mosaic in the shape of a parallelogram with a height of 5 inches. How long should she make the base of her mosaic?​

Answer 1

The answer to this question 16 inches
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Answer 2

• 16 in

Explanation:

Both figures will have same area as same tiles used.

Area of rhombus:

• A = ah = 10*8 = 80 in²

Area of parallelogram:

• a*5 = 80
• a = 80/5
• a = 16 in