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Quadratics in Area & Perimeter: Solve & Graph Functions

Authored by Anthony Clark

English, Mathematics

9th Grade

Quadratics in Area & Perimeter: Solve & Graph Functions
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular garden has a length that is 3 meters longer than its width. If the area of the garden is 70 square meters, what are the dimensions of the garden? Use the quadratic formula to find the width.

Width: 8 meters, Length: 11 meters

Width: 6 meters, Length: 9 meters

Width: 7 meters, Length: 10 meters

Width: 5 meters, Length: 8 meters

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A square park has a perimeter of 64 meters. If the park is expanded by increasing each side by a certain number of meters, express the new area as a quadratic function of the side length increase. What is the new area if each side is increased by 2 meters?

400 square meters

256 square meters

144 square meters

324 square meters

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular swimming pool has a length that is twice its width. If the perimeter of the pool is 60 meters, find the dimensions of the pool using a quadratic equation.

Width: 15 meters, Length: 30 meters

Width: 12 meters, Length: 24 meters

Width: 5 meters, Length: 10 meters

Width: 10 meters, Length: 20 meters

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The area of a triangular field is given by the formula A = 1/2 * base * height. If the base is 4 meters longer than the height and the area is 48 square meters, find the dimensions of the field using the quadratic formula.

Height: 8 meters, Base: 12 meters

Height: 5 meters, Base: 9 meters

Height: 6 meters, Base: 10 meters

Height: 10 meters, Base: 14 meters

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular plot of land has a length that is 5 meters more than its width. If the area of the plot is 150 square meters, find the dimensions of the plot by graphing the quadratic function derived from the area formula.

Width: 5 meters, Length: 10 meters

Width: 12 meters, Length: 17 meters

Width: 8 meters, Length: 13 meters

Width: 10 meters, Length: 15 meters

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A farmer wants to create a rectangular fence with a perimeter of 100 meters. If the length is represented as x and the width as (50 - x), write a quadratic equation for the area and find the maximum area using the vertex form of the quadratic function.

750 square meters

500 square meters

625 square meters

400 square meters

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular room has a length that is 4 feet longer than its width. If the area of the room is 60 square feet, find the dimensions of the room using the quadratic formula.

Width: 8 feet, Length: 12 feet

Width: 5 feet, Length: 9 feet

Width: 7 feet, Length: 11 feet

Width: 6 feet, Length: 10 feet

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