Question

a rectangle has an area of 360 square meters and a height of 20 meters. what is the length of the base?
meters
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Explanation:

Step1: Recall the area formula for a rectangle

The area \( A \) of a rectangle is given by the formula \( A = \text{base} \times \text{height} \), or \( A = b \times h \), where \( b \) is the base (length) and \( h \) is the height (width).

Step2: Rearrange the formula to solve for the base

We need to find the base \( b \), so we rearrange the formula. Dividing both sides of \( A = b \times h \) by \( h \) gives \( b=\frac{A}{h} \).

Step3: Substitute the given values into the formula

We know that the area \( A = 360 \) square meters and the height \( h = 20 \) meters. Substituting these values into the formula \( b=\frac{A}{h} \), we get \( b=\frac{360}{20} \).

Step4: Perform the division

Calculating \( \frac{360}{20} \), we find that \( 360 \div 20 = 18 \).

Answer:

18