GCSE Secondary Maths Age 13-17 - Shapes & Area: Area Of Shapes - Explained

The video tutorial explains how to solve a geometry problem involving a right-angled triangle and a rectangle. The task is to find the width of the rectangle, given that its area is six times that of the triangle. The tutorial walks through calculating the area of the triangle using the formula (base x height) / 2, then finding the rectangle's area by multiplying the triangle's area by six. Finally, it demonstrates how to determine the rectangle's width by dividing its area by its known length. The tutorial emphasizes careful reading of the problem and understanding key geometric formulas.

What is the relationship between the areas of the rectangle and the triangle?

• The rectangle's area is twice the triangle's area.

• The rectangle's area is three times the triangle's area.

• The rectangle's area is six times the triangle's area.

• The rectangle's area is equal to the triangle's area.

How do you calculate the area of a triangle?

• Base times height divided by 2

• Base plus height divided by 2

• Base plus height

• Base times height

What is the area of the triangle with a base of 8 and height of 9?

• 36 square centimeters

• 72 square centimeters

• 18 square centimeters

• 54 square centimeters

How do you find the area of the rectangle given its relationship to the triangle?

• Multiply the triangle's area by 8

• Multiply the triangle's area by 2

• Multiply the triangle's area by 6

• Multiply the triangle's area by 4

What is the area of the rectangle if the triangle's area is 36 square centimeters?

• 216 square centimeters

• 72 square centimeters

• 108 square centimeters

• 144 square centimeters

How do you calculate the width of the rectangle if its area is 216 square centimeters and its length is 16?

• Add 216 and 16

• Divide 216 by 16

• Subtract 16 from 216

• Multiply 216 by 16

What is the simplified width of the rectangle?

• 14.5

• 13.5

• 15.5

• 12.5