Geometry and Ratio Word Problems

The video tutorial covers several math problems involving geometry and ratios. It starts with calculating the area of a small square cut from a larger square and finding the ratio of their areas. Next, it addresses the perimeter of two squares and the length of one side of the smaller square. The tutorial then moves on to problem-solving with ratios, including calculating the number of plants and their costs, and determining the ratio of boys to girls in a group.

What is the area of the small square mentioned in the problem?

• 24 square centimeters

• 12 square centimeters

• 16 square centimeters

• 20 square centimeters

How do you calculate the area of the remaining part of the larger square?

• Add the area of the small square to the larger square

• Subtract the area of the small square from the larger square

• Multiply the area of the small square by the larger square

• Divide the area of the larger square by the small square

What is the area of the remaining part of the larger square?

• 28 square centimeters

• 20 square centimeters

• 32 square centimeters

• 24 square centimeters

What is the simplified ratio of the area of the small square to the remaining part?

• 1:2

• 2:3

• 2:5

• 3:4

What is the perimeter of the larger square?

• 24 centimeters

• 20 centimeters

• 16 centimeters

• 12 centimeters

What is the side length of the smaller square?

• 1 centimeter

• 2 centimeters

• 3 centimeters

• 4 centimeters

What is the ratio of the number of plants in the problem?

• 1:3

• 2:5

• 3:4

• 4:5

How many plants are there in total?

• 56

• 60

• 66

• 72

What is the cost of each plant?

• $17

• $16

• $15

• $18

What is the ratio of boys to girls in the problem?

• 5:8

• 5:6

• 4:5

• 6:7