Calculate the length of the second base given that the perimeter of the trapezoid in the drawing is 300% of the length of the base.
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Calculate the length of the second base given that the perimeter of the trapezoid in the drawing is 300% of the length of the base.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Given that the base is part of the perimeter calculation and that the perimeter is 300% of this base, we have:
Step 2: Using the perimeter formula for a trapezoid , where , , , and is the unknown base, we have:
Step 3: Solve for the unknown base :
Therefore, the length of the second base of the trapezoid is .
14
Given the trapezoid:
What is the area?
300% means 3 times the original amount. So if the base is 17, then 300% of 17 = . This becomes our total perimeter.
The perimeter is the distance around the entire shape. For any quadrilateral (including trapezoids), you must add all four sides: base₁ + base₂ + side₁ + side₂.
Look at the diagram carefully! The trapezoid has two parallel sides (bases). One base is labeled 17, and we need to find the other base. The sides labeled 8 and 12 are the non-parallel sides.
No! Understanding percentages is crucial here. 300% = 300/100 = 3.0. When we say "300% of something," we multiply that something by 3. Practice: 200% of 10 = 2 × 10 = 20.
Always check if your trapezoid can actually exist! The answer should be positive and reasonable compared to other sides. If you get a negative number or something impossibly large, recheck your calculations.
Yes! Once you know the perimeter is 51, immediately subtract the known sides: . This gives you the unknown base directly.
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