Question

The area of a trapezium shaped field is 480 m2. The distance between two parallel sides is 15 m and one of the parallel sides is 20 m.
Find the other parallel side.
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Answer 1

Question:

The area of a trapezium shaped field is 480 m^2. The distance between two parallel sides is 15 m and one of the parallel sides is 20 m.

Find the other parallel side.

Solution:

Given:

Area of Trapezium = 480 m^2

Distance between parallel sides = 15 m

One parallel Side = 20 m

Formula for area of trapezium,

Area of trapezium=

$\frac{1}{2} \times (sum \: of \: parallel \: sides \: ) \times height$

Let the length of other side be x

$480 = \frac{1}{2} \times (20 + x) \times 15 \\ 960 = 300 + 15x \\ 660 = 15x \\ x = \frac{660}{15} \\ = 44$

Hence, length of other side is 44 m.

${} { \huge{ \green{ | thanks.. | }}}$

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