Question

Find the area of the square below. Each unit on the grid represents one unit. Make sure you show your work and/or explain how you solved it.

Answer 1

Answer:

Area of the rectangle A = 17 units²

Step-by-step explanation:

Area of the rectangle A = Area of rectangle ACEG - (Area of the triangle ABH + Area of triangle BCD + Area of triangle DEF + Area of the triangle FGH )

Area of rectangle ACEG = Length × Width

                                        = (5 units) × (5 units)

                                        = 25 square units

Area of the triangle ABH = $\frac{1}{2}(\text{Base})(\text{Height})$

                                         = $\frac{1}{2}(4)(1)$

                                         = 2 units²

Area of the triangle BCD = $\frac{1}{2}(\text{Base})(\text{Height})$

                                         = $\frac{1}{2}(1)(4)$

                                         = 2 units²

Similarly, area of the triangle DEF = 2 units²

And area of the triangle FGH = 2 units²

Now area of the rectangle A = 25 - (2 + 2 + 2 + 2)

                                                = 25 - 8

                                                = 17 square units

Therefore, area of the rectangle A = 17 square units