Math Problem Statement

What is the perimeter of each of the following figures (Square, Rectangles, and Triangle) with given dimensions?

Solution

The image you provided shows four geometric shapes labeled (a), (b), (c), and (d), with specified dimensions. The task seems to involve finding the perimeter of each shape. I'll walk through the steps for each.

Shape (a): Square

  • Dimensions: 25 cm on each side
  • Perimeter formula for a square: P=4×sideP = 4 \times \text{side}
  • P=4×25P = 4 \times 25
  • P=100cmP = 100 \, \text{cm}

Shape (b): Rectangle

  • Dimensions: 40 cm by 10 cm
  • Perimeter formula for a rectangle: P=2×(length+width)P = 2 \times (\text{length} + \text{width})
  • P=2×(40+10)P = 2 \times (40 + 10)
  • P=2×50P = 2 \times 50
  • P=100cmP = 100 \, \text{cm}

Shape (c): Rectangle

  • Dimensions: 30 cm by 20 cm
  • Perimeter formula for a rectangle: P=2×(length+width)P = 2 \times (\text{length} + \text{width})
  • P=2×(30+20)P = 2 \times (30 + 20)
  • P=2×50P = 2 \times 50
  • P=100cmP = 100 \, \text{cm}

Shape (d): Triangle

  • Dimensions: All sides are 30 cm except one, which is 40 cm (isosceles triangle)
  • Perimeter formula for a triangle: P=side1+side2+side3P = \text{side}_1 + \text{side}_2 + \text{side}_3
  • P=30+30+40P = 30 + 30 + 40
  • P=100cmP = 100 \, \text{cm}

Thus, the perimeter for each shape is 100 cm.


Would you like more details on any specific calculation? Here are 5 additional related questions for practice:

  1. What is the formula for finding the area of a square?
  2. How do you find the area of a rectangle?
  3. What is the formula for finding the area of a triangle?
  4. How do you calculate the perimeter of a circle?
  5. What is the difference between the perimeter and the area of a shape?

Tip: The perimeter is the total distance around a shape, while the area is the amount of space enclosed within it.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Perimeter
Geometry
Rectangles
Triangles
Squares

Formulas

Perimeter of a square: P = 4 × side
Perimeter of a rectangle: P = 2 × (length + width)
Perimeter of a triangle: P = side1 + side2 + side3

Theorems

-

Suitable Grade Level

Grade 6-8