College of Admission Tests Multan

Perimeter and Area

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 5

In the figure, ABCD is a rectangle, and the area of ΔACE is 10. What is the area of the rectangle? areaperi13 -79159176
  • 8
  • 22.5
  • 36
  • 44
  • 45

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Correct Answer: C

areaperi13 -79159176

The formula for the area of a triangle is 1/2 × base × height. Hence, the area of ΔACE (which is given to equal 10) is 1/2 ×CE × AB. Hence, we have

areaperi11 -31716256

Now, the formula for the area of a rectangle is length × width. Hence, the area of the rectangle ABCD = BC × AB

areaperi12 -91595816

The answer is (C).