# Worksheet: Solving Word Problems on Quadratic Equations

Q1:

The length of a rectangle is 2 cm more than its width. If its area is 80 cm2, what are its length and width?

• A40 cm, 10 cm
• B10 cm, 8 cm
• C40 cm, 8 cm
• D40 cm, 2 cm

Q2:

The length of a rectangle is 4 cm more than its width. If its area is 96 cm2, what are its length and width?

• A24 cm, 12 cm
• B12 cm, 8 cm
• C24 cm, 8 cm
• D24 cm, 4 cm

Q3:

The length of a rectangle is 10 cm more than its width. If its area is 75 cm2, what are its length and width?

• A7 cm, 15 cm
• B15 cm, 5 cm
• C7 cm, 5 cm
• D7 cm, 10 cm

Q4:

The length of a rectangle is 2 cm more than its width. If its area is 48 cm2, what are its length and width?

• A24 cm, 8 cm
• B8 cm, 6 cm
• C24 cm, 6 cm
• D24 cm, 2 cm

Q5:

The length of a rectangle is 26 cm more than its width. Given that its area is 120 cm2, determine its perimeter.

Q6:

The length of a rectangle is 15 cm more than its width. Given that its area is 54 cm2, determine its perimeter.

Q7:

The length of a rectangle is 10 cm more than its width. Given that its area is 24 cm2, determine its perimeter.

Q8:

The side length of a square is cm, and the dimensions of a rectangle are cm and 2 cm. Given that the sum of their areas is 8 cm2, determine the perimeter of the square.

Q9:

The side length of a square is cm, and the dimensions of a rectangle are cm and 5 cm. Given that the sum of their areas is 14 cm2, determine the perimeter of the square.

Q10:

The side length of a square is cm, and the dimensions of a rectangle are cm and 8 cm. Given that the sum of their areas is 9 cm2, determine the perimeter of the square.

Q11:

The length of a rectangle is 3 cm more than double the width. The area of the rectangle is 27 cm2. Write an equation that can be used to find , the width of the rectangle, in centimeters.

• A
• B
• C
• D
• E

Q12:

A rectangular photograph measuring 6 cm by 4 cm is to be displayed in a card mount in a rectangular frame, as shown in the diagram.

Write an equation that can be used to find , the width of the mount, if its area is 64 cm2.

• A
• B
• C
• D
• E