A rectangle has a perimeter of 42 cm. One of its sides is 11 cm long. What are the demensions of the rectangle??
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Three minutes and you're begging?? Wow ... you need to develop some patience or something.
If one side of a rectangle is 11 cm long, the opposite side is also 11 cm. So they account for 22 cm.
What is the result of 42 - 22?
Divide that number by 2 in order to find the length of each of the shorter sides.
2L + 2W = 42
2*11 + 2W = 42
2W = 20
W = 10
L = 11
To find the dimensions of the rectangle, we can start by using the given information. We know that the perimeter of a rectangle is the sum of all its sides.
Let's assume the length of the rectangle is L, and the width is W. According to the information given, one side of the rectangle is 11 cm. So we can write an equation using the perimeter formula:
2L + 2W = 42
Since one side is 11 cm, we can substitute this value into the equation:
2L + 2(11) = 42
Simplifying the equation:
2L + 22 = 42
Next, we can isolate the L term by subtracting 22 from both sides:
2L = 42 - 22
2L = 20
Divide both sides of the equation by 2:
L = 20 / 2
L = 10
Therefore, the length of the rectangle is 10 cm.
To find the width, we can substitute the length back into the perimeter formula:
2(10) + 2W = 42
20 + 2W = 42
Subtracting 20 from both sides:
2W = 42 - 20
2W = 22
Divide both sides by 2:
W = 22 / 2
W = 11
Therefore, the width of the rectangle is 11 cm.
In summary, the dimensions of the rectangle are 10 cm by 11 cm.