Question

What is the area of a rectangle with vertices at (7,3), (12,3), (12,11), and (7,11)?

Answer 1

I hope this helps you

Answer 2

Area of Rectangle = Length × Breadth

Distance formula between two points ,

`(x_(1),y_(1)) {\text{and}}, (x_(2),y_(2)), is=\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}}`

Length

= Distance between Points ,(7,3) and (12,3)

`=√((12-7)^2+(3-3)^2)\\\\=5`

Breadth

=Distance between Points ,(12,3) and (12,11)

`=√((12-12)^2+(3-11)^2)\\\\=8`

→→Area = 5 × 8

= 40 square units