The total area of the rectangle is $$8 \times 5 = 40$$ square units. When divided into two equal parts, each part has an area of $$40 \div 2 = 20$$ square units. Choice B gives the total area before dividing. Choice C incorrectly adds the dimensions and divides by 2. Choice D incorrectly adds the dimensions.

The total area of the playground is $$7 \times 7 = 49$$ square units. After $$9$$ tiles are removed, the covered area is $$49 - 9 = 40$$ square units. Choice A gives the original total area. Choice C incorrectly adds the broken tiles to the total. Choice D only accounts for some of the remaining tiles.

The second rectangle has area $$24$$ square units and is $$3$$ units wide, so it must be $$24 \div 3 = 8$$ units long. Each row contains $$3$$ unit squares (the width). Choice A gives the length instead of the width. Choice C gives the total area. Choice D uses the width of the first rectangle.

It is possible to split a rectangle into two smaller rectangles with different areas. For example, a $$5 \times 6$$ rectangle could be split into a $$3 \times 6$$ part (18 square units) and a $$2 \times 6$$ part (12 square units). Choice A incorrectly assumes any split creates rectangles. Choice B incorrectly thinks parts must be equal. Choice D incorrectly claims rectangles cannot be split unequally.

When you see a problem about rectangles made of unit squares, you need to find the area by multiplying rows times columns. The question asks for the total area of both original rectangles, not the area of the new rectangle Lisa wants to make.

Let's find the area of each rectangle. Rectangle A has $$3$$ rows and $$6$$ columns, so its area is $$3 \times 6 = 18$$ square units. Rectangle B has $$2$$ rows and $$9$$ columns, so its area is $$2 \times 9 = 18$$ square units. The total area of both rectangles is $$18 + 18 = 36$$ square units.

Now let's check why each wrong answer is incorrect. Choice A ($$18$$ square units) only gives you the area of one rectangle - either Rectangle A or Rectangle B alone. Choice B ($$25$$ square units) is the area of the new rectangle Lisa wants to make, but the question asks for the total area of the original rectangles. Choice C ($$43$$ square units) might come from incorrectly adding $$18 + 25 = 43$$, mixing the area of one original rectangle with the target area.

The correct answer is D ($$36$$ square units) because this represents the combined area of both original rectangles: $$18 + 18 = 36$$.

Remember to read word problems carefully and identify exactly what the question is asking for. Here, the information about the $$25$$ square unit target is extra details - you just needed to find the total area of the two starting rectangles.

Area is measured in square units. Shape A has area 8 square units and Shape B has area 9 square units. Total area = 8 + 9 = 17 square units.

When shapes overlap, we cannot simply add their areas. Total coverage = Area of Rectangle 1 + Area of Rectangle 2 - Overlapping area = 12 + 12 - 3 = 21 square units.

The rectangle has area 20 square units, meaning 20 unit squares total. The figure shows 8 unit squares with dots, so 20 - 8 = 12 unit squares do not have dots. Choice B gives the number with dots instead.

Each row has 6 unit squares, with every third one shaded, giving 2 shaded squares per row. With 4 rows: 4 × 2 = 8 square units total.

Add the unit squares in each row: Row 1 + Row 2 + Row 3 = 2 + 4 + 3 = 9 square units total.