Question

Given a formula for the area of the geometric figure. (Lesson 1.7)

1. A square of side x:A= ________
2. A rectangle of the length land width w: A= _____
3. A circle of radius r: A= _____

Short answer

1. A square of side x:$A=x^2$
2. A rectangle of the length land width w:$A=lw$
3. A circle of radius r: $A=\frac{1}{2}\pi r^2$

Step-by-step solution

Part a. Step 1. Definition of Area.

Area refers the amount of the surface enclosed in the plane figure. It is measured in square unit such as square centimeters, square inches, square feet and others. Different shapes have the different area formulas.

Part a. Step 2. Find the area of the square.

The area of the square is given by$A=x^2$ with x as the length of the equal sides.

Part b. Step 1. Definition of Area.

Area refers the amount of the surface enclosed in the plane figure. It is measured in square unit such as square centimeters, square inches, square feet and others. Different shapes have the different area formulas.

Part b. Step 2. Find the area of the rectangle.

The area of the rectangle is given by$A=lw$ with l as the length and w is the width of the rectangle.

Part c. Step 1. Definition of Area.

Area refers the amount of the surface enclosed in the plane figure. It is measured in square unit such as square centimeters, square inches, square feet and others. Different shapes have the different area formulas.

Part c. Step 2. Find the area of the circle.

The area of the circle is given by$A=\pi r^2$ where r is the radius of the circle.