Calculate the perimeter of the rectangle ABCD.
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Calculate the perimeter of the rectangle ABCD.
Let's focus on triangle BCD in order to find side BC.
We'll use the Pythagorean theorem using our values:
Let's now remove the square root:
Since each pair of opposite sides are equal to each other in a rectangle, we can state that:
Now we can calculate the perimeter of the rectangle by adding all sides together:
62
The points A and O are shown in the figure below.
Is it possible to draw a rectangle so that the side AO is its diagonal?
Because 25 is the diagonal, not a side! The diagonal cuts through the inside of the rectangle. For perimeter, you only count the boundary - the four outer edges that form the rectangle's outline.
In rectangles, opposite sides are always equal. So if you know AB = 24, then the opposite side DC also equals 24. Same for the other pair: BC = AD.
The diagonal creates a right triangle inside the rectangle. We know the diagonal (25) and one side (24), so we can find the unknown side using .
That means you made an error! In this problem: . Always subtract the smaller square from the larger square.
No, because you need to find the unknown side first. The diagram only shows one side length (24) and the diagonal (25). The Pythagorean theorem is the key to finding the missing side.
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