Final answer:
To find the value of the sides of a rectangle given its perimeter, divide the perimeter by 2 and then subtract the length of one side. In this case, the length and width of the rectangle are both 13 units.
Step-by-step explanation:
To find the value of the sides of a rectangle given its perimeter, divide the perimeter by 2 and then subtract the length of one side. The result will give you the length of the other side. In this case, the perimeter is given as 52. Let's say the length of one side is 'a' and the width is 'b', so the perimeter can be represented as 2a + 2b, which is equal to 52. Therefore, we can write the equation as 2a + 2b = 52. Since we have a rectangle, we know that opposite sides are equal in length, so a = b. We can substitute 'b' with 'a' in the equation: 2a + 2a = 52. Simplifying this equation gives us 4a = 52, and dividing both sides by 4 gives us a = b = 13. Therefore, the length and width of the rectangle are both 13 units.
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