the ratio of the length of the parallel sides of a trapezium is 5:3 an

1.	the ratio of the length of the parallel sides of a trapezium is 5:3 and the distance between them is 16 cm .if the area of the trapezium is 960 cm² , find the length of the part sides
Answer» > $\huge \fbox \green{❤Solution:}$ $Let \: the \: <klux>SIDES</klux> \: be \: 5x \: and \: 3x$ Given $H = 16 \: <klux>CM</klux>$ $A = 960 \: {cm}^{2}$ $\sf \colorbox{god} {Now Area is Given as }$ $⇒960 = \frac{1}{2} \times 16 \times (5x + 3x)$ $⇒960 = 8 \times 8x$ $⇒64x = 960$ $:x = 15$ $⇒5x = 5 \times 15 = 75$ $⇒3x = 3 \times 15 = <klux>45</klux>$ Therefore, the PARALLEL sides are 45 cm and 75 cm. $\\ \\ \\ \sf \colorbox{gold} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}$