Area and Perimeter
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Questions and Answers

A rectangular garden is 8 meters long and 6 meters wide. What is the area of the garden?

  • 14 square meters
  • 28 square meters
  • 56 square meters
  • 48 square meters (correct)

The perimeter of a square is found by squaring the length of one of its sides.

False (B)

A triangle has a base of 10 cm and a height of 7 cm. What is its area, including units?

35 square cm

The distance around a circle is called the ______.

<p>circumference</p> Signup and view all the answers

Match each shape with the correct formula for its area.

<p>Rectangle = length × width Square = side² Triangle = ½ × base × height Circle = πr²</p> Signup and view all the answers

A rectangular garden is 15 meters long and 8 meters wide. What is the length of fencing needed to enclose the garden and the area of the garden?

<p>Perimeter: 46 meters, Area: 120 square meters (D)</p> Signup and view all the answers

If two rectangles have the same perimeter, they must have the same area.

<p>False (B)</p> Signup and view all the answers

Explain why it's important to use the perpendicular height when finding the area of a triangle.

<p>Using the perpendicular height ensures that the area calculation accurately represents the space enclosed by the triangle. The perpendicular height forms a right angle with the base, allowing the area formula ($\frac{1}{2} \times base \times height$) to correctly determine the triangle's area.</p> Signup and view all the answers

The area of a circle is calculated using the formula $A = \pi r^2$, where 'r' represents the circle's _________.

<p>radius</p> Signup and view all the answers

Match the shape with the formula to calculate its area.

<p>Square = s² Rectangle = l × w Triangle = ½ × b × h Circle = $\pi r^2$</p> Signup and view all the answers

Flashcards

What is Area?

The measure of the surface enclosed by a 2D shape, measured in square units.

What is Perimeter?

The total length of the boundary of a 2D shape, measured in linear units.

How do you calculate the area of a Rectangle?

Area = length × width

How do you calculate the perimeter of a Rectangle?

Perimeter = 2(length + width)

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How do you calculate the circumference of a Circle?

Circumference = 2πr (r = radius) or πd (d = diameter)

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Area of a square

s² (where s = side length)

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Area of a circle

πr² (where r = radius)

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Units in area/perimeter

Always include the appropriate unit of measure as part of your answer.

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Study Notes

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Description

Explore the basics of area and perimeter. Area is the measure of the surface enclosed by a shape, and perimeter is the distance around a shape. Learn how to calculate these for rectangles, squares, triangles and circles.

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