Hjkinnan
Hjkinnan Hjkinnan
  • 14-10-2019
  • Mathematics
contestada

The area of a rectangle is 36 ft.2. What is the area of the rectangle in square yards?

Respuesta :

derpyderpderpmail derpyderpderpmail
  • 14-10-2019

Answer:

4 square yards.

Step-by-step explanation:

Let's break the units down.

[tex]x (ft) * y (ft) = xy (ft^2)\\\\[/tex]

A yard is 3 feet, so:

[tex]\frac{x}{3} (yd) * \frac{x}{3} (yd) = \frac{xy}{3^2} (yd^2) = \frac{xy}{9} (yd^2)[/tex]

The area is [tex]36 (ft^2)[/tex]. The individual dimensions don't matter here.

[tex]36 = xy\\\\\frac{36}{9} (yd^2)=36(ft^2)\\\\4(yd^2)=36(ft^2)[/tex]

So 36 square feet is equal to 4 square yards.

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