Question

An engineer is tasked with doubling the length and width of a city park. The engineer draws the park on a coordinate plane and labels it ABCD. Find the area of the park before and after the expansion. A coordinate plane with Square A B C D plotted. Point A is at zero comma three. Point B is at thee comma three. Point C is at three comma zero, Point D is at zero comma zero. A photo of a park with a caption that says, dimensions of park are being doubled. What is the area of the park before the expansion?

Answer 1

The vertex coordinates of the park the engineer draws, A(0, 3), B(3, 3),

C(3, 0), D(0, 0) give the area of the park before expansion as 9 unit².

How can the area of the park be found?

The shape of the park = A square

The vertices of the park = ABCD

The coordinates of the point are; A(0, 3), B(3, 3), C(3, 0), D(0, 0)

The length of side AB = 3 - 0 = 3

Length of side BC = 3 - 0 = 3

Length of side CD = 3 - 0 = 3

Length of side AD = 3 - 0 = 3

Therefore, the park is a square with side length, s = 3 units

The area of a square, A = Side × Side = s²

The area of the park before expansion, A = 3 unit × 3 unit = 9 unit²

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