Question

69 POINTS FOR THIS AND PLSSSS ANSWER IT RIGHT. How can the area of this triangle be determined by forming a rectangle?

Select from the drop-down menus to correctly complete the statements.

Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is
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units. The width of the rectangle is
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units. The area of the rectangle is
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square units.

The area of the triangle is half the area of the rectangle, so the area of the triangle is
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square units.

Answer 1

Copy the triangle. Rotate it 180° clockwise. Place it on top of the original triangle so that their diagonals are touching.

This will form a rectangle with length of 9 units and width of 2 units.

Area of a rectangle = width x length

= 2 x 9

= 18 square units

Given the area of the triangle is half the area of the rectangle,

⇒ area of triangle = 18 ÷ 2 = 9 square units