Question

The area of trapezium shaped field is 480 m square, the distance between two parallel sides is 15 m and one of the parallel side is 20 m . Find the other parallel side

Answer 1

Hi

Here is your answer

area of trapezium is :-

$\frac{sum \: of \: parallel \: sides \: \times height}{2}$

so

$\frac{(20 + x) \times 15}{2} = 480$

$(20 + x) = \frac{480 \times 2}{15 } \\ = 64 \\ 20 + x = 64 \\ x = 64 - 20 = 44$

So the other parallel side is 44 metre

Hope it will help you

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Answer 2

Given Data :

• Area of Trapezium Shaped Field = 480 m²
• Distance Between Two Parallel Sides = 15 m
• One of the Parallel Side = 20 m

To Find : Measure of Other Parallel Side in the Trapezium

Answer : Measure of Other Parallel Side = 44 m

Step By Step Solution :

➤ Let Other Parallel Side be x

• Area of Trapezium Shaped Field = 480 m²
• 1/2 × Sum of Parallel Sides × Distance Between Them = 480 m²
• 1/2 × Sum of Parallel Sides × 15 m = 480 m²
• 1/2 × (20 m + x) × 15 m = 480 m²
• [1/2 × (20 m + x) × 15 m]/15 m = 480 m²/15 m
• 1/2 × (20 m + x) = 32 m
• 1/2 × (20 m) + 1/2 × (x) = 32 m
• 10 m + (x/2) = 32 m
• x/2 = 32 m - 10 m ⇒ x/2 = 22 m ⇒ x = 22 × 2 m ⇒ x = 44 m