Question

the area of trapezium is 594 square.com its parallel sides are in the ratio 4 5 the height of the trapezium is 12 find the length of the sides ​

Answer 1

Step-by-step explanation:

Let a=4x

b=5x

and h=12 cm

Area= 594

area of trap.=0.5*(a+b)*h

=>594=0.5*12*9x

=>594/6=9x

=>99=9x

=>99/9=x

=>x=11

so, First side = 44cm

Second side = 55cm

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Answer 2

The length of the sides ​are 44 cm and 55 cm.

Explanation:

The area of a trpzoid is given by : $A=\dfrac{1}{2}(\text{Sum of parallel sides})\times\text{height}$

Given : The area of trpzoid = 594 square cm. Its parallel sides are in the ratio 4 :5 .

Let the length of the parallel sides be 4x and 5x.

Sum of parallel sides = 4x+5x=9x

Height  = 12 cm

Put all values in formula , we get

$594=\dfrac{1}{2}(9x)\times12$

$594=(\text{54x})$

$x=\dfrac{594}{54}=11$

Sides of trpzoid = 4(11)= 44 cm and 5(11)=55 cm. Hence,

The length of the sides ​are 44 cm and 55 cm.

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