the length of the fence of a Trapezium shaped field ABCD is 130 M and side ab is perpendicular to each of the parallel sides ad and BC. If BC =54m, cd=19m,and ad =42m. Find the area
Answers
Answer :
Perimeter of trapezium = 130 m.
Perimeter = AB + BC+ CD +DA
= AB+ 54 +19+42
130=AB + 115
AB = 130 - 115
height = 15 m.
Area = 1/2 ×( 96 ) × 15
= 48 × 15
Ans=720 m. Sq.
Answer: the area of the trapezium shaped field ABCD is 720 square meter
Step-by-step explanation:
The area of a trapezium is given by the formula:
Area = (a + b)h/2
Where a and b are the lengths of the parallel sides and h is the height or distance between the parallel sides.
From the information given, we know that the length of the fence is 130m, and that side AB is perpendicular to each of the parallel sides AD and BC.
We also know that BC = 54m, CD = 19m, and AD = 42m.
To find the height (AB), we can use the fact that the perimeter of the trapezium is equal to the sum of all its sides.
130 = AB + AD + BC + CD
130 = AB + 42 + 54 + 19
AB = 15 m
Now we can use the formula to find the area of the trapezium:
Area = (42 + 54) * 15 / 2
Area = 96 * 15 / 2
Area = 1440 /2 square meters
Area = 720 square meters
So the area of the trapezium shaped field ABCD is720 square meters.
A trapezium is a quadrilateral with one pair of parallel sides, also known as the bases. The other two sides, known as the legs, are not parallel. It has no opposite sides are congruent. It is a two-dimensional geometric shape that has 4 sides and 4 angles. In a trapezium, the parallel sides are referred to as the bases and the non-parallel sides as the legs. The area of a trapezium is calculated by multiplying the sum of the parallel sides by the height and then dividing the result by 2
To learn more about trapezium from the link below
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To learn more about quadrilateral from the link below
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