Q. 6 A

Plot the following points and find out the area of enclosed figures.

A (3, 1), B(3, 6), C(–5, 6), D(–5, 1)

Answer :

plot points A, B, C and D and join them as shown

As seen in the figure ABCD is a rectangle

Area of rectangle = length × breadth

Length = AD = AE + ED

= 3 + 5

= 8 cm

ED = 5 and not -5 because distance of point D from Y-axis is 5 and distance cannot be negative

AD = 8 cm

B is at height of 6 units from X-axis and A is at height of 1 units from X-axis therefore distance between points A and B would be 6 – 1

Breadth = AB = 6 – 1 = 5 cm

Area of rectangle = 8 × 5 = 40 sq. cm

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