RandleH621225 RandleH621225
  • 25-10-2022
  • Mathematics
contestada

The area of the unshaded region is 22.5cm2 . What is the area of the rectangle?A) 11.25cm2B) 22.5cm2C) 45cm2D) 90cm2

The area of the unshaded region is 225cm2 What is the area of the rectangleA 1125cm2B 225cm2C 45cm2D 90cm2 class=

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TrackerA726752 TrackerA726752
  • 25-10-2022

Let's use the variable b to represent the white triangle base (which is the width of the rectangle), and the variable h to represent the white triangle height (which is the length of the rectangle).

The white triangle area is given by:

[tex]A=\frac{b\cdot h}{2}=22.5\text{ cm}^2[/tex]

The area of the rectangle is given by the product of its length and its width, so we have:

[tex]A_2=b\cdot h=2\cdot(\frac{b\cdot h}{2})=2\cdot A=2\cdot22.5=45\text{ cm}^2[/tex]

Therefore the correct option is C.

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