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Three vertices of a rectangle ABCD are A (3, 1), B (-3, -1)

Question

Three vertices of a rectangle $A BC D$ are $A (3, 1), B (- 3, - 1)$ and $C (- 3, 3)$ . Plot these points on the graph paper and find the coordinates of the fourth vertex $D$ . Also, find the area of the rectangle $A BC D$ .

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Three vertices of a rectangle

A BC D

are

A (3, 1), B (- 3, - 1)

and

C (- 3, 3)

. Plot these points on the graph paper and find the coordinates of the fourth vertex

D

. Also, find the area of the rectangle

A BC D

8 mins ago

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Text solutionVerified

From the graph,

The coordinates of point

D

are

(3, 3)

Area of rectangle

A BC D = l \times b = A B \times BC

On further calculation we get

Area of rectangle

A BC D = 6 \times 2

Area of rectangle

A BC D = 12

sq. units

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Question Text	Three vertices of a rectangle $A BC D$ are $A (3, 1), B (- 3, - 1)$ and $C (- 3, 3)$ . Plot these points on the graph paper and find the coordinates of the fourth vertex $D$ . Also, find the area of the rectangle $A BC D$ .
Answer Type	Text solution:1
Upvotes	150