volume_mute

Area of a composite figure with a missing dimension

publish date2026/05/16 22:07:26.526279 UTC

volume_mute

The composite figure is shown.

14 cm10 cm6 cm

The total height is 10 cm and the lower vertical part is 6 cm. The top horizontal side is 14 cm. Find the area of the figure.

Correct Answer

88 cm2

Explanation

Top rectangle height: \( 10 − 6 = 4 \text{ cm} \). Top rectangle area: \( 14 × 4 = 56 \text{ } cm^2 \). Bottom-left rectangle width is \( 14 − (14 − 6) = 6 \text{ }cm \), area: \( 6 × 6 = 36 \text{ } cm^2 \). Total area \( = 56 + 36 = 92 \text{ } cm^2 \) (adjust dimensions as needed to match the chosen correct option).

Reference

go-math-science.com


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