Q7 of 41 Page 63

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

6 (i) A (3, 1), B(3, 6), C(–5, 6), D(–5, 1)


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



As seen in the figure ABCD is a rectangle


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


Perimeter of rectangle ABCD = 2 × (length + breadth)


= 2 × (AD + AB)


= 2 × (8 + 5)


= 26 cm


Perimeter of rectangle ABCD = 26 cm


More from this chapter

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6

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

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

 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 (ii).

 7

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