The rectangle and triangle below have the same height and base measurements. Find the area of the rectangle and the right triangle, and then compare the areas.

A regular rectangle has sides of 6 inches in length and 8 inches in width. A right triangle has sides of a base of 6 inches, an altitude of 8 inches, and a hypotenuse of 10 inches.

The area of the rectangle is
square inches. The area of the triangle is
square inches.

The area of the triangle is
the area of the rectangle.

1 answer

The area of the rectangle is 6 inches x 8 inches = 48 square inches.

To find the area of the triangle, we use the formula for the area of a triangle: Area = 1/2 x base x height.
So, the area of the triangle is 1/2 x 6 inches x 8 inches = 24 square inches.

24 square inches is half of 48 square inches, so the area of the triangle is half the area of the rectangle.