Question

the area of a trapezium shaped field is 480sqm the distance between two parallel sides is 15m and one of the parallel side is 20m. Find the other parallel side​

Answer 1

Solution:-

Given:-

Area of the trapezium = 480 m²

Distance between two parallel sides(Height) = 15 m

One parallel side = 20 cm

To Find:-

The Length of the other parallel side.

Formula:-

$Area \: of \: a \: trapezium \: = \:\frac{1}{2} * Sum \:of \: their \:parallel \:sides * Height$

Assumption:-

Let, the other parallel side be x

By The Problem:-

$Area \: of \: a \: trapezium \: = \:\frac{1}{2} * Sum \:of \: their \:parallel \:sides * Height\\ 480 \: = \:\frac{1}{2}\:* \:(20+x)*15\\ 480*2\:=\:(20+x)*15\\960\:=\:300+15x\\15x\:=\:960-300\\15x\:=\:660\\x\:=\:\frac{660}{15} \\=>x\:=\:44$

Answer:-

The length of the other parallel side is 44 cm.

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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