10035/55 i just need to check my answers
1 answer:
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Answer:
Step-by-step explanation:
Area of a trapezium is the average of the parallel sides times the distance between them.
If we subtract 15 units from each of the parallel sides, we end up with a triangle that has two sides of 8 units and one of 10 units. One of the 8 unit sides is the base and we need to find the height h which is perpendicular to this base.
Let the base be split into two segments, call one A, the other will be 8 - A
From Pythagoras.
10² - A² = h² = 8² - (8 - A)²
10² - A² = 8² - (8 - A)²
100 - A² = 64 - (64 - 16A + A²)
100 - A² = 64 - 64 + 16A - A²
100 = 16A
A = 6.25
h = √(10² - 6.25²)
h = √60.9375
A = ½(15 + 23)√60.9375
A = 148.31870246... ≈ 148.3 cm²
Answer:
<h2>The area of the parallelogram is 300 square meters. Its height (length) is 30 meters and its width is 10 meters.</h2>Step-by-step explanation:
Assuming that the parallelogram is a rectangle, its perimeter would be defined as
Where is the width and
is the length.
But, , so
Which means the sum of its dimensions is 40 meters.
Easily, its dimenions can be 10 meters and 30 meters.
So, its area would be
Therefore, the area of the parallelogram is 300 square meters. Its height (length) is 30 meters and its width is 10 meters.