Math Problem Statement

Calculate the area of a rectangular shape with dimensions: height (t) = 8 cm, width of the middle part (P) = 5.4 cm, and width of the right side (L) = 2.5 cm.

Solution

The image shows a rectangular shape divided into sections. The dimensions labeled on the image are:

  • t=8cmt = 8 \, \text{cm} (height)
  • P=5.4cmP = 5.4 \, \text{cm} (width of the middle part)
  • L=2.5cmL = 2.5 \, \text{cm} (width of the right side)

Assuming you're interested in calculating the area of the entire shape, let's break it into two parts:

  1. A larger rectangle (height t=8cmt = 8 \, \text{cm} and width P+L=5.4+2.5cm=7.9cmP + L = 5.4 + 2.5 \, \text{cm} = 7.9 \, \text{cm}).
  2. The area of the rectangle is calculated by multiplying height by total width.

So, the total area AA would be:

A=t×(P+L)=8cm×7.9cmA = t \times (P + L) = 8 \, \text{cm} \times 7.9 \, \text{cm}

Let me calculate this.The total area of the rectangular shape is 63.2cm263.2 \, \text{cm}^2.

Would you like further details or have any questions?

Here are 5 related questions for practice:

  1. How would you calculate the perimeter of this shape?
  2. If the height of the rectangle was doubled, how would the area change?
  3. How can we find the area of a different shape, like a triangle, using similar dimensions?
  4. What is the ratio between the widths PP and LL?
  5. How can you calculate the area of a circle with a diameter equal to the height tt?

Tip: When calculating the area of complex shapes, breaking them into smaller, simple shapes can make the task easier.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Rectangle

Formulas

Area = length × width

Theorems

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Suitable Grade Level

Grades 6-8