Question

Which figure has an area of 3.5 cm2?
A trapezoid with bottom side length of 3 centimeters, height of 2 centimeters, and top side length of 1.5 centimeters.
A trapezoid with bottom side length of 3 centimeters, height of 2 centimeters, and top side length of 1.5 centimeters.
A triangle with height 2 centimeters and base 3 centimeters.
A trapezoid with bottom side length of 2 centimeters, height of 2 centimeters, and top side length of 1.5 centimeters.

Answer 1

Answer:

  A trapezoid with bottom side length of 2 centimeters, height of 2 centimeters, and top side length of 1.5 centimeters

Step-by-step explanation:

The area of a trapezoid is given by ...

  A = (1/2)(b1 +b2)h

where b1 and b2 are the lengths of the parallel bases (top side, bottom side) and h is the height. (A triangle is a trapezoid with a topside base of 0.)

The areas of your figures are ...

• (1/2)(3 +1.5)(2) = 4.5
• (1/2)(3 +1.5)(2) = 4.5
• (1/2)(3 +0)(2) = 3
• (1/2)(2 +1.5)(2) = 3.5 . . . . this trapezoid has an area of 3.5 cm^2

The last figure has the required area.

_____

Comment on this solution

Be aware that the nature and order of figures may vary in a different instance of this problem. The answer may not always be "D".

Answer 2

Answer:

d

Step-by-step explanation: on edge