Look at the following rectangle:
Calculate the perimeter of the rectangle ABCD.
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Look at the following rectangle:
Calculate the perimeter of the rectangle ABCD.
Let's focus on triangle BCD in order to find side DC.
We'll use the Pythagorean theorem and input the known data:
Let's now remove the square root:
Since in a rectangle each pair of opposite sides are equal to each other, we know that:
Now we can calculate the perimeter of the rectangle by adding all sides together:
28
Look at the rectangle below.
Side DC has a length of 1.5 cm and side AD has a length of 9.5 cm.
What is the perimeter of the rectangle?
The diagonal (10) is not a side of the rectangle! It cuts through the middle. You need to find the actual side length using the Pythagorean theorem first.
In rectangle ABCD, opposite sides are always equal: AB = DC and AD = BC. Think of it like a door frame - the top equals the bottom, left equals right.
Sometimes you'll get decimals or square roots that don't simplify nicely. In this problem, works out perfectly, but always double-check your arithmetic!
Yes! Every rectangle forms right triangles when you draw a diagonal. The diagonal is always the hypotenuse, and the two sides are the legs of the right triangle.
Perimeter is the distance around the rectangle (add all sides). Area is the space inside the rectangle (multiply length × width). This problem asks for perimeter!
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