Q6 of 41 Page 63

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

A(1, 2), B(9, 2), C(7, 4), D(3, 4)

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



Here quadrilateral ABCD so formed is a trapezium


Area of trapezium = 1/2 × (sum of parallel sides) × height


Here AB || DC


AB = 9 – 1 = 8 cm


CD = 7 – 3 = 4 cm


DG is the height of trapezium


DG = DF – GF


= 4 – 2


= 2 cm


DG = 2 cm


∴ Area of trapezium = 1/2 × (AB + CD) × DG


= 1/2 × (8 + 4) × 2


= 12 sq. cm


Area of trapezium ABCD = 12 sq. cm


More from this chapter

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6

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

O(0, 0), A(0, 7), B(–7, 7), C(–7, 0)

 6

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

A(0, –2), B(–4, –6), C(4 ,–6)

 6

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

A(–4, 1), B(–4, 7), C(–7, 10), D(–7, 4)

 7

Find the perimeter of the rectangle and squares of the previous problems 6 (i).