Calculate Rectangle Perimeter: Area 105 with Width 15 and Height 7

Question

The area of a rectangle is equal to 105.

Calculate its perimeter using the data in the figure below.

00:00 Determine the perimeter of the rectangle

00:03 The perimeter of the rectangle equals the sum of its sides

00:10 Opposite sides are equal in a rectangle

00:16 Substitute in the relevant values according to the given data and proceed to solve for the perimeter

00:20 This is the solution

Given that in a rectangle every pair of opposite sides are equal to each other, we can state that:

$AB=CD=15$

$AC=BD=7$

Now let's calculate all the sides together to find the perimeter of the rectangle:

$7+15+7+15=14+30=44$