Question

If the difference between two parallel sides of a trapezium is 4 cm, perpendicular distance between them is 10 cm. If the area of trapezium is 250 cm²?, then the length of parallel side is​

Answer 1

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Answer 2

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Given: difference between two parallel sides of a trapezium is 4 cm,

Height is 10cm and Area is 250 cm²

To find: length of parallel Sides

$\sf \colorbox{skyblue} {Solution:}$

Let length of parallel Sides be x and y

$⇒Area = \frac{1}{2} \times h(x + y)$

$⇒250 = \frac{1}{2} \times 10 \times (x + y)$

$⇒(x + y) = \frac{250 \times 2}{10} = 50$

$⇒x - y = 4 = 1 ,x = 4 + y$

$⇒x = 4 + y + y = 50$

$⇒2y = 50 - 4 = 46$

$⇒y = \frac{46}{2} = 23$

$:x = 4 + 23 = 27$

Lenght of parallel sides 27 and 23

Hence Correct option is (c) .

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