The area of rectangle ABCD whose coordinates are (0,4)(4,4)(4,-1)(0,-1) is 20 square units.
What is area?
Area is the extent of surface covered by the specific shape. Area of rectangle is equal to length * breadth.
How to find area?
We have been given rectangle ABCD and we have to find the area of rectangle. Firstly we have to find the coordinates of the rectangle which are A(0,-1), B(0,4),C(4,4),D(4,-1). AD and BC are lengths and AB and DC are breadths. Now we have to find the measurement of length and breadth which can be calculated as under:
AD=[tex]\sqrt{(4-0)^{2} +(-1+1)^{2} }[/tex]
=[tex]\sqrt{16+0}[/tex]
=[tex]\sqrt{16}[/tex]
=4 units.
DC=[tex]\sqrt{(4-4)^{2} +(-1-4)^{2} }[/tex]
=[tex]\sqrt{-5^{2} +0^{2} }[/tex]
=[tex]\sqrt{25}[/tex]
=5 units
Because it is a rectangle so opposite sides are equal to each other. In this way AD=BC=4 units, DC=AB=5 units.
Area =length*breadth
=4*5
=20 square units
Hence the area of rectangle having coordinates (0,-1),(4,-1),(4,4)(0,4) is 20 square units.
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