Ratio of length of parallel sides of a trapezium is 2:3. Distance
between them is 16cm. If the area of trapezium is 320cm² Find length of parallel sides.
Answers
Answer:
Given
HappyNewYear21
HappyNewYear21
6 days ago
Math
Secondary School
Ratio of length of parallel sides of a trapezium is 2:3. Distance
between them is 16cm. If the area of trapezium is 320cm² Find length of parallel sides.
2
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disha48321274
disha48321274
Answer:
CONGRATULATIONS
Given
Ratio of length of parallel sides of a trapezium is 2:3. Distance between them is 16cm. If the area of trapezium is 320cm²
To find
Length of parallel sides
Solution
✰ Ratio of length of parallel sides = 2 : 3
✰ Distance between parallel sides = 16 cm
✰ Area of trapezium = 320 cm²
Let the parallel sides be 2x and 3x
\\{\underline{\boxed{\bf{\red{Area\:of\:trapezium=\dfrac{1}{2}\times{(a+b)}\times{h}}}}}}\\\\
\implies\sf 320 = \dfrac{1}{2}\times{(2x+3x)}\times{16}\\\\
\implies\sf 320=\dfrac{1}{2}\times{5x}\times{16}\\\\
\implies\sf 320=5x\times{8}\\\\
\implies\sf \dfrac{320}{8}=5x\\\\
\implies\sf 40=5x\\\\
\implies\sf x=\cancel\dfrac{40}{5}\\\\
\implies\sf x=8cm\\\\
\large\bigstar\: \large{\underline{\sf{\purple{Length\:of\:parallel\:sides}}}}\: {\bigstar}
Length of the first parallel side = 2x = 16 cm
Length of the second parallel side = 3x = 24cm
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BlossomingBud123
BlossomingBud123
Answer:
Given
Ratio of length of parallel sides of a trapezium is 2:3. Distance between them is 16cm. If the area of trapezium is 320cm²
To find
Length of parallel sides
Solution
✰ Ratio of length of parallel sides = 2 : 3
✰ Distance between parallel sides = 16 cm
✰ Area of trapezium = 320 cm²
Let the parallel sides be 2x and 3x
Area of Trapezium = ½ × (a + b) × h
320 = ½ × (2x + 3x) × 16
320 = ½ × (5x) × 16
320 = 5x × 8
320/8 = 5x
40 = 5x
x = 40/5 {Cancel 40; 5 × 8 = 40}
x = 8 cm
now , length of parralel sides
Length of the first parallel side = 2x = 16 cm
Length of the first parallel side = 2x = 16 cmLength of the second parallel side = 3x = 24cm
hope it helps dear
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gd night
Given
Ratio of length of parallel sides of a trapezium is 2:3. Distance between them is 16cm. If the area of trapezium is 320cm²
To find
Length of parallel sides
Solution
✰ Ratio of length of parallel sides = 2 : 3
✰ Distance between parallel sides = 16 cm
✰ Area of trapezium = 320 cm²
Let the parallel sides be 2x and 3x
Area of Trapezium = ½ × (a + b) × h
320 = ½ × (2x + 3x) × 16
320 = ½ × (5x) × 16
320 = 5x × 8
320/8 = 5x
40 = 5x
x = 40/5 {Cancel 40; 5 × 8 = 40}
x = 8 cm
Length of the first parallel side = 2x = 16 cm
Length of the first parallel side = 2x = 16 cmLength of the second parallel side = 3x = 24cm
Keep smiling dear
Good night sweet dreams