Question

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 1

$\huge \fbox \green{❤Solution:}$

$Let \: the \: sides \: be \: 5x \: and \: 3x$

Given

$H = 16 \: cm$

$A = 960 \: {cm}^{2}$

$\sf \colorbox{god} {Now Area is Given as }$

$⇒960 = \frac{1}{2} \times 16 \times (5x + 3x)$

$⇒960 = 8 \times 8x$

$⇒64x = 960$

$:x = 15$

$⇒5x = 5 \times 15 = 75$

$⇒3x = 3 \times 15 = 45$

Therefore, the parallel sides are 45 cm and 75 cm.

$\\ \\ \\ \sf \colorbox{gold} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}$