(05.02)a doghouse is to be built in the shape of a right trapezoid, as shown below. what is the area of the doghouse?
a right trapezoid with top side 7 feet and height 7 feet. the bottom side is extended to the right with 3 more feet.
24.5 square feet
59.5 square feet
70 square feet
147 square feet

The area of the doghouse is

Step-by-step explanation:

we know that

The area of trapezoid is equal to

where

b1,b2 are the parallel bases of trapezoid

h is the height of trapezoid

in this problem we have

substitute

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!