What is the area of this composite figure with dimensions 7 cm, 8 cm, and 11 cm?

Mathematics · Middle School · Mon Jan 18 2021

Answered on

To effectively calculate the area of a composite figure, one needs to know the shape of the figure and the arrangement of its dimensions. Without this information, it's challenging to provide a precise answer.

However, if we assume the simplest possible scenario with the given dimensions (7 cm, 8 cm, and 11 cm) - such as a right-angled triangle - we can attempt to calculate the area of that figure. A right-angled triangle can be divided into a smaller right-angled triangle and a rectangle, or it can be considered as one piece depending on the arrangement of dimensions. For a right-angled triangle, the formula for the area is:

Area = (Base × Height) / 2.

Based on the given measurements, if we assume the base is 11 cm and the height is 7 cm (or vice versa), the area would be:

Area = (11 cm × 7 cm) / 2 Area = 77 cm² / 2 Area = 38.5 cm².

Alternatively, if the composite figure includes multiple simple shapes, you will have to calculate the area of each shape individually and then sum them up to get the total area. Without more specifics on the shape, I can't give a precise calculation for the area, but generally, the area of a composite figure is determined by breaking it down into simpler shapes whose areas can be calculated and then combining those areas.