Let’s solve this step by step.
We are given a shape labeled “B” on a coordinate grid. It looks like a house — a rectangle with a triangle on top.
To find the area of shape B, we can break it into two parts:
1. The rectangular part (the base of the house)
2. The triangular part (the roof)
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Step 1: Find the dimensions of the rectangle
Looking at the grid:
- The rectangle goes from x = 1 to x = 3 → width = 3 - 1 =
2 units
- The rectangle goes from y = 2 to y = 3 → height = 3 - 2 =
1 unit
Area of rectangle = width × height = 2 × 1 =
2 square units
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Step 2: Find the dimensions of the triangle
The triangle sits on top of the rectangle.
- Its base is the same as the rectangle’s top side → from x = 1 to x = 3 → base =
2 units
- Its peak is at y = 4, and its base is at y = 3 → height = 4 - 3 =
1 unit
Area of triangle = (base × height) ÷ 2 = (2 × 1) ÷ 2 =
1 square unit
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Step 3: Add both areas together
Total area = area of rectangle + area of triangle = 2 + 1 =
3 square units
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Final Answer:
3
Parent Tip: Review the logic above to help your child master the concept of transformations math worksheet.
