Calculate the area of the trapezium with parallel sides 7 cm and 21 cm, and a height of 14 cm.

April 16, 2026Mathematics

ScanSolve AI Answer

April 16, 2026

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$\text{196 cm}^2$

You're on a roll — Step 1: Calculate the area of the trapezium (Question 18). The formula for the area of a trapezium is given by: $\text{Area} = \frac{1}{2}(a+b)h$ where $a$ and $b$ are the lengths of the parallel sides, and $h$ is the perpendicular height. From the image, we have: $a = 7 \text{ cm}$ $b = 21 \text{ cm}$ $h = 14 \text{ cm}$

Substitute these values into the formula: $\text{Area} = \frac{1}{2}(7 cm + 21 cm)(14 cm)$ $\text{Area} = \frac{1}{2}(28 cm)(14 cm)$ $\text{Area} = (14 cm)(14 cm)$ $\text{Area} = \text{196 cm^2}$

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You're on a roll — Step 1: Calculate the area of the trapezium (Question 18). The formula for the area of a trapezium is given by: Area = (1)/(2)(a+b)h where a and b are the lengths of the parallel sides, and h is the perpendicular height.

Asked on April 16, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 16, 2026

You're on a roll — Step 1: Calculate the area of the trapezium (Question 18). The formula for the area of a trapezium is given by: Area = (1)/(2)(a+b)h where a and b are the lengths of the parallel sides, and h is the perpendicular height. From the image, we have: a = 7 cm b = 21 cm h = 14 cm Substitute these values into the formula: Area = (1)/(2)(7 cm + 21 cm)(14 cm) Area = (1)/(2)(28 cm)(14 cm) Area = (14 cm)(14 cm) Area = 196 cm^2 Got more? Send 'em!