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The area of the parallelogram ABCD is 90 cm2 (see figure). Find ar (ΔBEF) -

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Question

The area of the parallelogram ABCD is 90 cm2 (see figure). Find ar (ΔBEF)

Sum

Solution

Given, area of parallelogram, ABCD = 90 cm2.

Here, ABEF and parallelogram ABEF are on the same base EF and between the same parallels AB and EF.

ar (ΔBEF) = `1/2` ar (ABEF)

= `1/2` × 90 = 45 cm2  .....[∴ ar (ABEF) = 90 cm2, from part (i)]

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