Solve for X: Perimeter of 44 in a Compound Rectangle with 10x-8 Side Length

Question

The rectangle in the diagram is composed of of three smaller rectangles.

Calculate x given that GDEF has a perimeter of 44.

00:00 Find X

00:03 In a rectangle with equal opposite sides

00:07 Substitute the side value according to the given data

00:14 In a rectangle with equal opposite sides

00:17 Substitute the side value according to the given data

00:24 The perimeter of the rectangle equals the sum of its sides

00:33 Substitute appropriate values according to the given data and solve for X

00:54 Group terms

01:06 Isolate X

01:22 And this is the solution to the problem

Let's calculate the perimeter of rectangle GDEF using the given data:

$10x-8+10x-8+5x+5x=44$

We'll group similar terms:

$30x-16=44$

$30x=44+16$

$30x=60$

$x=2$