Calculate Rectangle Perimeter: Three Interior Rectangles with 5, 6, and 7 Unit Measurements

Question

Rectangle ABCD contains three other rectangles.

Calculate the perimeter of ABCD.

00:00 Find the perimeter of rectangle ABCD

00:03 Opposite sides are equal in a rectangle

00:12 The whole side equals the sum of its parts

00:16 Opposite sides are equal in a rectangle

00:33 We don't have enough data to know the entire sides BC,AD

00:39 Therefore, we cannot determine the rectangle's perimeter

00:43 And this is the solution to the question

Let's look at rectangle EBHF where we are given:

EF=BH=5

FH=EB=6

From this we can calculate AB:

7+6=13

Now we have a pair of sides in rectangle ABCD:

AB=DC=13

We know that EF=BH=AG=5

We therefore do not have enough additional data to calculate the sides AD and BC.

Not enough data