Calculate Rectangle Perimeter: Solving ABCD with Given Segments 5 and 3

Question

ABCD and EBFC are rectangles.

Calculate the perimeter of the rectangle ABCD.

AAABBBCCCDDDEEEFFF53

Video Solution

Solution Steps

00:00 Find the perimeter of rectangle ABCD
00:03 Opposite sides are equal in a rectangle
00:07 The perimeter of the rectangle equals the sum of its sides
00:13 Let's substitute appropriate values and solve for the perimeter
00:17 We don't have enough data to solve
00:20 And this is the solution to the question

Step-by-Step Solution

Since every pair of opposite sides are equal to each other in a rhombus, we know that:

EF=BC=AD=5 EF=BC=AD=5

FC=EB=3 FC=EB=3

To calculate side AB, we must use the following formula:

AB=AE+EB AB=AE+EB

As we are only given the length of EB, we don't have enough information and cannot calculate the lengths of the other sides.

Answer

Not enough data