The area of trapezium is 1586Sq.cm and the distance between its parallel sides is 26cm. If one of the parallel sides is 84cm,find the other.
Area of trap = (1/2)(a+b)(h)
where a and b are the two parallel sides and h is the height between them
you have one missing unknown, just plug everything in, and solve
To find the other parallel side of the trapezium, we can use the formula for the area of a trapezium.
The formula for the area of a trapezium is:
Area = (1/2) × (sum of parallel sides) × (distance between parallel sides)
In this case, we know that the area of the trapezium is 1586 sq.cm and the distance between the parallel sides is 26 cm.
Let's represent the unknown parallel side as x.
We can now substitute the given values into the formula:
1586 = (1/2) × (84 + x) × 26
To simplify, we can multiply both sides of the equation by 2:
2 × 1586 = (84 + x) × 26
3172 = 84 + x × 26
Now, let's isolate the term with x by subtracting 84 from both sides of the equation:
3172 - 84 = x × 26
3088 = 26x
To solve for x, we divide both sides of the equation by 26:
3088/26 = x
x = 119.08 cm
Therefore, the other parallel side of the trapezium is approximately 119.08 cm.