All Pre-Algebra Resources
Example Questions
Example Question #11 : Area
A cube has a sidelength that measures 16 inches. What is the total area of two of its sides or faces?
None of the other answers.
All faces of a cube have equal measurements and are squares. So if a cube has a sidelength that measures 16 inches, you know that all its sides measure 16 inches.
The surface area of one face of the cube is:
Since the question asks for the surface area of two faces of the cube we double the area found for one side:
Example Question #12 : Area
A squre has perimeter 16.
What is its area?
Because a square has four equal sides, you can divide the perimeter by four to discover each side length is 4. The equation for area of a square is ,
so
Example Question #13 : Area
What is the area of a rectangle with a length of 2 and a width of 100?
Write the formula for the area of a rectangle.
Substitute the dimensions and solve for the area.
Example Question #14 : Area
Jack is painting one side of his house. It is 20 meters long and 15 meters high. A can of paint covers 40 meters squared. How many cans will he need to buy to cover the wall?
8.5 Cans
7 Cans
8 Cans
7.5 Cans
9 Cans
8 Cans
The total area of the wall is meters squared.
Each can covers 40 meters squared. Therefore, to find the number of cans needed we will need to divide the total area by the amount of area each can covers.
However, you cannot buy 7.5 cans so the correct answer is 8 Cans.
Example Question #15 : Area
Find the area of a square if the side is 25.
Write the formula for the area of a square.
Plug in the side.
Example Question #16 : Area
Find the area of a square with a diagonal of .
Write the formula to find the side length given the length of the diagonal.
Substitute the diagonal to find the side.
Write the formula for area of the square and substitute the side.
Example Question #16 : Area
Find the area of a rectangle if the perimeter is 10.
Write the formula for the perimeter of a rectangle.
Possible combinations of width and length for the perimeter are:
First possibility:
Second possibility:
These are only 2 combinations of many possible dimensions.
Write the area of a rectangle.
The area for the first possibility is 4, and the area for the second possibility is 6. Each combination of length and width will yield a different area. Without a known dimension for length and width of the rectangle, we cannot solve for a known area.
The correct answer is:
Example Question #17 : Area
What is the area of a square if the side of the square is ?
Write the formula for the area of a square and substitute the side.
Example Question #19 : Area
Find the area of a rectangle if the perimeter is 10, and the width is 4.
Write the perimeter formula for rectangles.
Substitute the perimeter and the width to find the length. The length will be needed to find the area.
Solve for .
Write the formula for the area of a rectangle and solve for the area.
Example Question #20 : Area
Find the area of a rectangle if the length is and the base is .
Write the formula for the area of a rectangle.
Substitute the dimensions.
Remember when multiplying fractions, multiply the numerators together and multiply the denominators together.
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