A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is the constant of variation?

Mathematics · Middle School · Tue Nov 03 2020

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Given the statement:

A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm.

Determine the constant of variation.

Solution:

In order to determine the constant of variation, we must simply solve for the area of the rectangle.

Formula for the area of the rectangle:

A = lw 

A = (72 cm)(56 cm)

A = 4,032 cm^2

Final answer:

The constant of variation is 4,032 cm^2.