Question

Find the area of the trapezoid

A. 150 ft^2

B. 300 ft^2

C. 45 ft^2

D. 75 ft^2

Answer 1

Answer: 75

Step-by-step explanation:

The area formula for a trapzoid is area= 1/2 (a+b) h

In this equasion, the substitution would be area=1/2 (10+15) 6

Following PEMDAS, enter the numbers within the parenthases (10+15)

Divide the 25 in half, then multiply by 6. This comes out to 75.

Answer 2

For this case we have that by definition, the area of a trapezoid is given by:

$A = \frac {1} {2} (B + b) * h$

Where:

B: It is the major base

b: It is the minor base

h: It's the height

According to the figure we have the following data:

$B = 15ft\\b = 10ft\\h = 6ft$

Substituting in the formula:

$A = \frac {1} {2} (15 + 10) * 6\\A = \frac {1} {2} (25) * 6\\A = \frac {1} {2} 150\\A = 75$

Finally, the area of the trapezoid is$75ft ^ 2$

Answer:

$75ft ^ 2$