Question

A rectangle and a triangle have the same area and the

same base measurement. How does the height of the
triangle compare to the height of the rectangle? Explain
your answer.
Can u please give me an explanation

Answer 1

The height of the triangle will be twice the height of the rectangle. The area of a triangle is ½ bh and the area of a rectangle is bh. If the bases are the same, then the height of the triangle has to be double that of the rectangle in order to get the same area.

Explanation:

its the sample response

Answer 2

This means the height of the triangle is twice the height of the rectangle.

Explanation:

Area of a rectangle is given as product of length and width, A=l*w

Area of triangle is given as the product of the base length by half the height,

A= 1/2 *b*h

If the areas are the same then it means;

l*w = 1/2 *l*h where l is the base length

l*w = l*h/2 ------but the base measurement is the same thus

w= h/2

2 w = h

This means the height of the triangle is twice the height of the rectangle.