PLZ hurry and help find the area of trapezoid
1 answer:
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WX and ZY make up the legs, as illustrated in the diagram.
Since it is an isosceles trapezoid, the legs are congruent; that means
6<em>x</em> + 5 = 8<em>x</em> - 3
When solving this equation, we do not want a variable on both sides. We will cancel the 6<em>x</em> to avoid negatives:
6<em>x</em> + 5 - 6<em>x</em> = 8<em>x</em> - 3 - 6<em>x</em>
5 = 8<em>x</em> - 3 - 6<em>x</em>
Combine like terms:
5 = 2<em>x</em> - 3
Cancel the 3 by adding:
5 + 3 = 2<em /><em>x</em> - 3 + 3
8 = 2<em>x</em>
Cancel the 2 by dividing:
8/2 = 2<em>x</em>/2
4 = <em>x</em><em />
Since it is an isosceles trapezoid, the legs are congruent; that means
6<em>x</em> + 5 = 8<em>x</em> - 3
When solving this equation, we do not want a variable on both sides. We will cancel the 6<em>x</em> to avoid negatives:
6<em>x</em> + 5 - 6<em>x</em> = 8<em>x</em> - 3 - 6<em>x</em>
5 = 8<em>x</em> - 3 - 6<em>x</em>
Combine like terms:
5 = 2<em>x</em> - 3
Cancel the 3 by adding:
5 + 3 = 2<em /><em>x</em> - 3 + 3
8 = 2<em>x</em>
Cancel the 2 by dividing:
8/2 = 2<em>x</em>/2
4 = <em>x</em><em />
Correct Answer:
Option A. 17.1 Yards
Solution:
Let the height of trapezium is x yards. According to the given data, we can express the lengths of bases in terms of height.
The short base is 3 yards greater than the height, so measure of short base will be (x+3) yards.
The longer base is 5 yards greater than the height, so measure of longer base will be (x+5) yards.
Area of trapezium is given to be 360 square yards.
Area of trapezium = 0.5 x (Height) x (Sum of Bases)
Using the values, we get:
Since the height cannot have a negative value, we conclude that the height of trapezium rounded to nearest tenth of a yard will be 17.1 yards.
Option A. 17.1 Yards
Solution:
Let the height of trapezium is x yards. According to the given data, we can express the lengths of bases in terms of height.
The short base is 3 yards greater than the height, so measure of short base will be (x+3) yards.
The longer base is 5 yards greater than the height, so measure of longer base will be (x+5) yards.
Area of trapezium is given to be 360 square yards.
Area of trapezium = 0.5 x (Height) x (Sum of Bases)
Using the values, we get:
Since the height cannot have a negative value, we conclude that the height of trapezium rounded to nearest tenth of a yard will be 17.1 yards.