Rectangle Area Calculation: Using Perimeter of 30 and Width of 5

Question

The perimeter of the rectangle below is equal to 30.

What is the area of the rectangle?

101010555AAABBBDDDCCC

Video Solution

Solution Steps

00:00 Determine the area of the rectangle
00:03 In order to calculate the area of a rectangle, multiply width(AB) by length(AC)
00:07 Substitute the appropriate values into the formula according to the given data and proceed to solve for the area
00:10 This is the solution

Step-by-Step Solution

We use the formula to calculate the area of a rectangle: length times width:

AC×AB=S AC\times AB=S

We replace the existing data:

5×10=50 5\times10=50

That is, the information that the perimeter of the rectangle is equal to 30 is unnecessary, since all the data to calculate the area already exist and it is not necessary to calculate the other sides.

Answer

50

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Question Types

Area of a Rectangle: Finding Area based off Perimeter and Vice Versa