Question

Bernardo needs to find the dimensions of his king-size mattress set so he can build a new bed frame. He knows the area of the bottom of the mattress set is 42 square feet and its length is 7 feet. Which other measurement does he need to know in order to build the bed frame?

A) The perimeter of the mattress.
B) The volume of the mattress.
C) The width of the mattress.
D) The area of the side of the mattress.

Answer 1

Bernardo needs to know the width of the mattress in order to build the bed frame. The width can be calculated using the formula for the area of a rectangle.

Step-by-step explanation:

In order to build the bed frame, Bernardo needs to know the width of the mattress. The area of a rectangle is calculated by multiplying its length and width, so by knowing the length and area of the mattress, we can solve for the width.

Given that the length of the mattress is 7 feet and the area is 42 square feet, we can use the formula for the area of a rectangle (A = length * width) to solve for the width:

1. 
   
3. A = l * w (Area = length * width)
4. 
   
6. 42 = 7 * w (Substitute the given values)
7. 
   
9. w = 6 feet (Divide both sides of the equation by 7)

Therefore, the width of Bernardo's king-size mattress set is 6 feet.