Mathematics: Simplify this expression: -5.55 - 8.55c + 4.35c

Simplify this expression: -5.55 - 8.55c + 4.35c

leahstubbs

21.07.2022

18 square units.

Step-by-step explanation:

Vertices of rectangle ABCD are,

A → (-4, -2)

B → (-2, -2)

C → (-2, 7)

D → (-4, 7)

Since, area of a rectangle is given by the formula,

Area of a rectangle = Length × Width

= AB × BC

To get the measure of length and width we will use the formula,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2)}$

AB = $\sqrt{(-4+2)^2+(-2+2)^2}$ = 2 units

BC = $\sqrt{(-2+2)^2+(-2-7)^2}$ = 9 units

Area of the rectangle ABCD = 2 × 9 = 18 square units

Therefore, 18 square units is the area of the rectangle ABCD.

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