The perimeter of the rectangle and the triangle shown are the same. Write an equation to represent this situation, and solve for x. Then, find the perimeter of each shape.
1 answer:
Answer:
Step-by-step explanation:
Perimeter of a polygon = Sum of all sides of the polygon
Perimeter of the given rectangle = 2[(5x - 2) + (3x - 0.5)]
= 2[8x - 2.5]
= (16x - 5)
Perimeter of the given triangle = (2x + 3) + (2x + 3) + (10x - 5)
= 14x + 1
Since perimeter of the rectangle and triangle are same, equation will be
(16x - 5) = (14x + 1)
16x - 14x = 5 + 1
2x = 6
x = 3
Perimeter = (16x - 5)
= 48 - 5
= 43 units
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