Calculate the Perimeter: Rectangle ABCD with Sides 4, 6, and 15 Units

Question

What is the perimeter of the given rectangle ABCD?

00:00 Calculate the perimeter of the rectangle

00:04 Opposite sides are equal in a rectangle

00:23 The whole side equals the sum of its parts

00:32 Opposite sides are equal in a rectangle

00:40 The perimeter of the rectangle equals the sum of its sides

00:50 We'll substitute appropriate values and solve to find the perimeter

01:10 And this is the solution to the problem

Given that in the smaller rectangle ED=CF=4 (each pair of opposite sides in the rectangle are equal)

We can therefore calculate for the rectangle ABCD that BC=6+4=10

Now we can state in the rectangle ABCD that BC=AD=10

Next we calculate the perimeter of the rectangle by adding together all of the sides:

DC=AB=15

Hence the perimeter of the rectangle ABCD is equal to:

$10+10+15+15=20+30=50$