Question

A figure is shown with the given dimensions.6 feet-5 feet3 feet- 10 feetWhich expression(s) can be used to determinethe area, in square feet, of this figure?Select each correct expression, a=bhA. (6 x 3) + 420B. (10 x 3) -C. (6 x 3) + (105)D. (6-3) -(10+5)E. (63)-3(5 x 4)F. (10 x 3) - (4x3)Enter answers here:

Answer 1

Step 1:

The figure under consideration is a trapezium

Step 2:

The formula for finding the area of a trapezium is

`(1)/(2)\text{ (a + b) h}`

Where a = 6 feet, b = 10 feet and h = 3

Step 3:

We now substitute the given parameter into the formula stated above

`\begin{gathered} (1)/(2)\text{ (6+10) 3} \\ \frac{16\text{ X 3}}{2} \\ 24\text{ square fe}et \end{gathered}`

Step 4:

We begin to substitute into the options and as many that give 24 square feet is the solution.

Step 5:

A = 24 square feet

B = 22.5 square feet

C = 68 square feet

D = 24 square feet

E = 28 square feet

F = 24 square feet

Step 6:

From step 5, it is easy to see that options A, D, and F give 24 square feet

CONCLUSION:

The expressions that can be used to determine the area of this figure in square feet are A, D, and F.