Question

Find the area of trapezium where length of parallel sides are 15 cm and 25 cm and the third side measures 12 cm.

Answer 1

$\huge{\bf{\green{\mathfrak{Question:-}}}}$

• Find the area of trapezium where length of parallel sides are 15 cm and 25 cm and the third side measures 12 cm.

$\huge {\bf{\orange{\mathfrak{Answer:-}}}}$

• $\textsf{Length of a parallel side = a = 15 cm.}$

• $\textsf{Length of other parallel side = a = 25 cm.}$

• $\textsf{Length of the third side = Height = 12 cm.}$

• $\boxed{\sf Area \: of \: trapezium \: = \: \dfrac{a \: + \: b}{2} \: h \: units^{2}.}$

• $\sf \dfrac{15 \: + \: 25}{2} \: * \: 12$

• $\sf \dfrac{40}{2} \: * \: 12$

• $\sf 20 \: * \: 12$

• $\boxed{\sf 240 \: cm^{2}.}$

$\huge{\bf{\red{\mathfrak{Conclusion:-}}}}$

• $\boxed{\therefore{\sf Area \: of \: trapezium \: = \: 240 \: cm^{2}.}}$

$\huge{\bf{\purple{\mathfrak{Note:-}}}}$

• Here, we are taking the thrid side as the perpendicular side and finding the area of the trapezium.

Answer 2

Required answer:-

Question:

• Find the area of trapezium where length of parallel sides are 15 cm and 25 cm and the third side measures 12 cm.

Solution:

Given,

❥ Length of two parallel sides = 15 cm and 25cm

❥ Length of third side (height) = 12 cm

To find:

❥ Area of trapezium

Formulas used:

❥ 1/2 × (Sum of parallel sides) × height

Step by step explaination:

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→ 1/2 × (15+25)cm × 12cm

→ 1/2 × 40cm × 12cm

→ 240 cm²

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Therefore, the area of trapezium is 240 cm²