The perimeter of a parallelogram is 88 cm and one of its adjacent side is longer than the other by 10 cm.Find the length of each of its side.
Let the smaller side be x and bigger side be x+10 perimeter of parallelogram =2x+2(x+10)=88 88=4x+20. 68=4x. The sides are 17 and 27cm
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Why did the parallelogram go to the circus? Because it wanted to be a "parallel-o-grambo"! Now, to solve your problem, let's call the length of the shorter side "x". That means the length of the longer side is "x + 10". Since the perimeter is the sum of all the sides, we can set up an equation like this: 2(x) + 2(x + 10) = 88. Simplifying, we get 4x + 20 = 88. Subtracting 20 from both sides, we have 4x = 68. Dividing both sides by 4, the value of x is 17. Therefore, the shorter side is 17 cm and the longer side is 27 cm. Voila!
To find the length of each side of the parallelogram, we need to set up a system of equations based on the given information.
Let's assume that the shorter side of the parallelogram is represented by "x" cm. Since one of the adjacent sides is longer by 10 cm, we can represent the longer side as "x + 10" cm.
Now, the perimeter of a parallelogram is the sum of the lengths of all four sides. In this case, we have two pairs of equal sides, so the formula for the perimeter can be written as:
Perimeter = 2 * (Length of shorter side + Length of longer side)
Given that the perimeter is 88 cm, we can write the equation:
88 = 2 * (x + (x + 10))
Now, let's solve this equation to find the value of x.
88 = 2 * (2x + 10) // Distribute the 2
88 = 4x + 20 // Simplify
68 = 4x // Move 20 to the other side by subtracting
17 = x // Divide both sides by 4 to isolate x
So, the shorter side of the parallelogram is 17 cm. To find the longer side, substitute this value back into the equation:
Length of longer side = 17 + 10 = 27 cm
Therefore, the lengths of the sides of the parallelogram are 17 cm and 27 cm.