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Example1

Title: Area of Rectangle

Grade 6+ Lesson s1-l6

Explanation: The best way to understand geometry is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1

A rectangle has a length of 16 cm and a width of 4 cm. A square and a rectangle have the same area. Find the length of the square’s side.

$40%$

Step: 1

Given that a rectangle’s length(l) and width(w) are 16 cm and 4 cm.
The area of the rectangle is \$16 \times 4\$ = \$64 sq.cm\$.
Here, the Area of the rectangle = Area of the square
Now, the Area of the square is 64 sq.cm.

Explanation:

The rectangle’s dimensions are 16 cm long and 4 cm wide. The square’s area is 64 sq.cm, which is equal to the area of the rectangle with dimensions 16 cm x 4 cm(64 sq.cm).

Step: 2

To find the side length of a square is "x" by using the formula: Area of a Square = \$x^2\$
⇒ \$64 = x^2\$
Apply Squareroot on both sides:
\$\sqrt 64\$ = \$\sqrt (x^2)\$
x = 8
So, the length of one side of the square is 8 cm.

Explanation:

To solve this equation, we must take both sides square roots. The equation, with the square roots applied, becomes \$\sqrt (x^2)\$ = \$\sqrt 64\$. Simplifying the equation, we get x = 8.