Question

Please answer and show work

Answer 1

(8.6+12.9) • 6.4 • 1/2 = 68.8

The answer is 68.8 square centimeters.

Hope this helps!

Answer 2

~69 cm or 68.8 to be exact

Explanation:

1) Understand that the area formula for a triangle is

(base * height) / 2

2) The figure indicates that there is a triangle and square separated. So we must first either find the area of the triangle first or the rectangle/square. In this case, I'll do the rectangle first.

3) Area of a rectangle is length * width. The length is 6.4 cm and the width is 8.6 cm. Multiply those two numbers give you 55.04 cm.

4) We can use the same length of 6.4, since that is only given to us and visually the triangle is the same length. Note* height and length are the same in this scenerio.

The length of the whole trapeozid is 12.9 cm, therefore we need to subtract the rectangle's width to get the triangle's base (width). 12.9 cm - 8.6 cm = 4.3 cm

5) Use triangle area formula (base * height) / 2

(6.4 * 4.3) / 2 = 13.76 cm

6) Add the two area's together

55.04 + 13.76 = ~69 cm