Question

the area of a rectangle (base × height) is 168 square ft. the height is 24 ft. what is b, the base of the rectangle? 12 ft 144 ft 192 ft 7 ft

Explanation:

Step1: Recall the area formula for a rectangle

The area \( A \) of a rectangle is given by the formula \( A = \text{base} \times \text{height} \), which can be written as \( A = b \times h \), where \( b \) is the base and \( h \) is the height.

Step2: Substitute the known values into the formula

We know that the area \( A = 168 \) square feet and the height \( h = 24 \) feet. Substituting these values into the formula \( A = b \times h \), we get \( 168 = b \times 24 \).

Step3: Solve for the base \( b \)

To find \( b \), we need to isolate it. We can do this by dividing both sides of the equation by 24. So, \( b=\frac{168}{24} \).
Calculating \( \frac{168}{24} \), we find that \( 168\div24 = 7 \).

Answer:

7 ft