Alandscaper is designing a flower garden in the shape of a trapezoid. she wants the length of the shorter base to be 3 yards greater than the height, and the length of the longer base to be 5 yards greater than the height. for what height will the garden have an area of 360 square yards? round to the nearest tenth of a yard. 17.1 yards 34.2 yards 39.2 yards 152.6 yards

Correct
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.

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