Question

Find the area of the rectangle. Round the answer to the nearest whole number.

Answer 1

51

Explanation:

Answer 2

The area of the given rectangle is 51

Explanation:

First we have to find the coordinates of the vertices of the rectangle.

Then the length and breadth of it using distance formula.

The distance d between points (x₁ , y₁) and (x₂ , y₂) is given by

`d= \sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`

Finally calculate the area of rectangle using the formula,

Area of rectangle = Length * Breadth

From the given graph, we get the coordinates of the rectangle as

A(2,4) , B(-2,3) , C(1,-9) , D(5,-8)

Breadth, AB =
`\sqrt{(-2-2)^(2)+(3-4)^(2)} = √(16+1) = sqrt{17}`

Length, BC =
`\sqrt{(1+2)^(2)+(-9-3)^(2)} = √(9+144) = 3 sqrt{17}`

Now, Area of rectangle = Length * Breadth = AB * BC = √17 * 3√17 = 3 *17 = 51

∴ The area of the given rectangle is 51