Trapezoid Perimeter: Finding the Total Length with a 1.5 Base Ratio

Question

Look at the trapezoid in the figure.

The long base is 1.5 times longer than the short base.

Find the perimeter of the trapezoid.

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Video Solution

Solution Steps

00:00 Calculate the perimeter of the trapezoid
00:05 The perimeter of the trapezoid equals the sum of its sides
00:28 Substitute the side value according to the given ratio
00:43 Substitute appropriate values and solve to find the perimeter
01:09 And this is the solution to the question

Step-by-Step Solution

First, we calculate the long base from the existing data:

Multiply the short base by 1.5:

5×1.5=7.5 5\times1.5=7.5

Now we will add up all the sides to find the perimeter:

2+5+3+7.5=7+3+7.5=10+7.5=17.5 2+5+3+7.5=7+3+7.5=10+7.5=17.5

Answer

17.5