a trapezium with its parallel sides in the ratio16:5,is cut from a rectangle whose sides measure 63m &5m respectively. the area of the trapezium is 4/15 of the rectangle .find the lengths of the parallel sides of the trapezium.

No

To find the lengths of the parallel sides of the trapezium, we can use the information provided in the question.

Let's assign variables to the lengths of the parallel sides of the trapezium. Let's call one side of the trapezium 16x and the other side 5x, since the sides are in the ratio of 16:5.

Given that the area of the trapezium is 4/15 of the rectangle, we can set up the following equation:

Area of the trapezium = (4/15) * Area of the rectangle

The area of the rectangle is given by the product of its length and width, so:

Area of the rectangle = 63m * 5m

Now we can substitute the values into the equation:

(4/15) * (63m * 5m) = 1/2 * (16x + 5x) * h

Simplifying further:

(4/15) * 315m² = (21x) * h

Now we need to find the value of h, which is the height of the trapezium.

To find the height, we can solve for h by rearranging the equation:

h = [(4/15) * 315m²] / (21x)

Simplifying:

h = 12m/x

Since the height of the trapezium is not given in the question, we cannot determine the lengths of the parallel sides of the trapezium without more information.