Question

If the area of trapezium is 64 CM square and distance between parallel side is 8 cm then find the sum of its parallel sidem

Answer 1

The sum of its parallel sides is 16 cm

Step-by-step explanation:

Distance between parallel sides = 8 cm

Area of trapezium = $\frac{1}{2} (\text{Sum of parallel sides}) \times Height$

                             =$\frac{1}{2} (\text{Sum of parallel sides}) \times 8$

The area of trapezium is 64 CM square

So,$\frac{1}{2} (\text{Sum of parallel sides}) \times 8 = 64$

$\text{Sum of parallel sides} = \frac{64 \times 2}{8}$

$\text{Sum of parallel sides} =16$

Hence the sum of its parallel sides is 16 cm

#Learn more:

Sum of parallel side of trapezium is 26 m and its area is 150 cm square and then find the distance between parallel side of trapezium​

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Answer 2

$\huge{\underline{\mathfrak{\green{Answer}}}}$

$\large{\star{\gray{\sf{Given}}}}$

Area of trapezium = 64 cm²

Distance between parallel sides (Height) = 8 cm

$\rule{200}{2}$

$\large{\star{\gray{\sf{To \: Find}}}}$

We have to find the sum of parallel sides of the trapezium.

$\rule{200}{2}$

$\large{\star{\gray{\sf{Solution}}}}$

We know the area to find the area of the trapezium

$\Large{\star{\boxed{\boxed{\purple{\sf{Area = \frac{1}{2} \times (Sum \: of \: parallel \: sides) \times height}}}}}}$

Let sum of parallel sides be x.

______________[Put Values]

${\sf{→64 = \frac{1}{\cancel{2}} \times x \times \cancel{8}}} \\ \\ \sf{→64 = 4 \times x} \\ \\ \sf{→\frac{\cancel{64}}{\cancel{4}} = x} \\ \\ \sf{→x = 16 \: cm}$

$\large{\star{\boxed{\boxed{\orange{\sf{\therefore \: Sum \: of \: parallel \: sides \: is \: 16 \: cm.}}}}}}$