Question

Q. Name the quadrilateral formed by joining the points A(1,0), B(1,4), C(4, 4) and D(4.0). Also, find the area of the resultant quadrilateral.
Please explain step by step...​

Answer 1

$\large\underline{\sf{Solution-}}$

Given coordinates are

• Coordinates of A be (1, 0)

• Coordinates of B (1, 4)

• Coordinates of C (4, 4)

• Coordinates of D (4, 0).

[ Please see the attachment ].

From graph we concluded that

• AB = 4 units

• BC = 3 units

• CD = 4 units

• DA = 3 units

Also,

• AB is Perpendicular to BC.

• BC is perpendicular to CD

• CD is perpendicular to DA

• DA is perpendicular to AB.

It implies,

• AB = CD = 4 units

• BC = DA = 2 units.

As we know that,

In a quadrilateral, if opposite sides are equal and angle between the sides is 90°, then quadrilateral is a rectangle.

So, this figure, ABCD is a rectangle.

Now,

Area of a rectangle = AB × CD = 4 × 3 = 12 square units.