Use area and perimeter to determine cost

Learning Objectives Distinguish between situations requiring area calculations and those requiring perimeter calculations for cost determination. Accurately calculate the area of rectangular and square shapes. Accurately calculate the perimeter of rectangular and square shapes. Apply unit costs (per square unit or per linear unit) to calculated areas or perimeters to find the total cost. Solve multi-step word problems involving area, perimeter, and cost. Perform necessary unit conversions to ensure consistent units for cost calculations. Ever wondered how much it costs to put a new fence around your yard or carpet a room? 🏡💰 These everyday problems rely on understanding area and perimeter! In this lesson, you'll learn how to use your knowledge of area and perimeter t...

TermDefinitionExample AreaThe amount of surface a two-dimensional shape covers, measured in square units.If you want to know how much carpet you need for a room, you calculate the room's area. PerimeterThe total distance around the outside edge of a two-dimensional shape, measured in linear units.If you want to know how much fencing you need for a garden, you calculate the garden's perimeter. Unit CostThe price for a single unit of a product or service. It can be per square unit (e.g., $5 per square foot) or per linear unit (e.g., $2 per foot).Carpet might cost $3 per square foot, or a fence might cost $10 per linear foot. Total CostThe final amount of money required for a project, calculated by multiplying the total measurement (area or perimeter) by the unit cost.If you need 1...

Area of a Rectangle/Square $$A = l \times w$$ Use this formula to find the area (A) of a rectangular or square shape, where 'l' is the length and 'w' is the width. This is used when covering a surface. Perimeter of a Rectangle/Square $$P = 2(l + w)$$ Use this formula to find the perimeter (P) of a rectangular or square shape, where 'l' is the length and 'w' is the width. This is used when going around the edge of a shape. Total Cost (Area-based) $$\text{Total Cost} = \text{Area} \times \text{Unit Cost per Square Unit}$$ Once you've calculated the area, multiply it by the cost per square unit to find the total cost for covering that surface. Total Cost (Perimeter-based) $$\text{Total Cost} = \text{Perimeter} \times \t...