Answer :
The estimation of the area of the trapezium is approximately 192 cm².
Given the rectangle is divided into square centimeters. The question asks us to find the approximate estimation of the area of the trapezium.
The area of the trapezium can be estimated by calculating the area of a rectangle and multiplying it by the height, which is an approximation method that is easy and quick to use.
Here, the length of AB is 24 cm, and the length of CD is 8 cm, so the length of BC must be (24 - 8) = 16 cm.
Therefore, the area of the rectangle ABCD is:24 cm × 16 cm = 384 cm²
The trapezium EFGH is approximately equal to half the area of the rectangle ABCD. The top length of the trapezium EFGH is equal to the length of DC and measures 8 cm, the bottom length of the trapezium EFGH is equal to the length of AB and measures 24 cm, and the height is 12 cm.
So, the area of the trapezium EFGH is approximately equal to:
(1/2) × (8 + 24) cm × 12 cm= (1/2) × 32 cm × 12 cm= 192 cm²
Therefore, the approximate estimation of the area of the trapezium is 192 cm².
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