Question

In this diagram the big square is divided into 7 congruent small squares and two congruent triangles. The area of the shaded square is 4sq cm. What is the area of the shaded triangle?
PLS HELP. PLS TELL ME HOW YOU GOT THE ANSWER TOO!

Answer 1

Since each square will have an area of 4 cm^2 because they are congruent, then let’s find the side length of them.

Square root of 4 is two

Each side is 2 cm. Since the unshaded triangle has 3 on the base and height, then it is same to assume that the triangle has a base of 6 cm (2 * 3) and a height of 6 cm.

The formula of the area of a triangle is:
1/2 ( base times height)

Let’s plug in some values

1/2(6 * 6)

Multiply

1/2 (36)

Divide

18

Since the triangles are also congruent, then the shaded side has the same area.

The shaded triangle has an area of 8 cm ^2