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.
The area of the rectangle is blank
square inches.
The area of the triangle is blank
square inches.
The area of the triangle is blank the area of the rectangle.
the rectangle has 6 on top and on bottom and 8 on left and right sides so the base is 6 and the height is 8 on both sides for the rectangle
and for the triangle 8 for height on left and 10 for h on right and for base its 6 only for bottom top is 0
The area of the rectangle is 48 square inches.
To find the area of the triangle, we use the formula A = 1/2 bh, where b is the length of the base and h is the height. Since the base of the triangle is 6 and the height is 8, we have:
A = 1/2 (6)(8) = 24 square inches.
Therefore, the area of the triangle is 24 square inches.
Since the area of the triangle is half the area of the rectangle, we can say that the area of the triangle is half the area of the rectangle, or:
Atriangle = 1/2 Arectangle
Atriangle = 1/2 (48) = 24
So the area of the triangle is equal to the area of the rectangle.
To find the area of the rectangle, we multiply the base by the height. In this case, the base of the rectangle is 6 inches and the height is also 8 inches (since both sides have the same measurements). Therefore, the area of the rectangle is 6 inches * 8 inches = 48 square inches.
To find the area of the right triangle, we use the formula A = (1/2) * base * height. In this case, the base of the triangle is 6 inches and the height varies. The height is 8 inches on the left side, but it is 10 inches on the right side. Since it is a right triangle, the height on the top is 0 inches. Therefore, we only consider the base * height for the side with non-zero height. The area of the triangle is (1/2) * 6 inches * 8 inches = 24 square inches.
Comparing the areas, we see that the area of the triangle (24 square inches) is half the area of the rectangle (48 square inches).