Question

4. MAXIMUM AREA
A rectangle is given. By paper folding activity, make an equilateral triangle with o
breadth of the rectangle. Make another equilateral triangle with maximum area ir
Questions
4.1 What is the height of maximum area equilateral triangle?
4.2) What is the side of that triangle?
4.3 Find the area of triangle?
4.4 What is the ratio of area of these two triangles?​

Answer 1

Given:

A rectangle is given. By paper folding activity, make an equilateral triangle with o breadth of the rectangle.

Make another equilateral triangle with maximum area.

To find:

4.1 What is the height of maximum area equilateral triangle?

4.2) What is the side of that triangle?

4.3 Find the area of triangle?

4.4 What is the ratio of area of these two triangles?​

Solution:

4.1 The height of maximum area equilateral triangle is equal to half the length of rectangle.

= 1/2 × length

4.2 The side of the triangle is equal to the breadth of rectangle

= side

= breadth

4.3 The area of triangle is equal to half of the area of rectangle

4.4 The ratio of area of these two triangles is given as follows,

= Area₁ / Area₂

= (side₁ / side₂)²

Answer 2

4.1  1/2 × length

4.2 side = breadth

4.3 1/2 × area of the rectangle

4.4 (side1/side2)²

Step-by-step explanation:

4.1) The maximum height of the equilateral triangle must be half of length of the Rectangle.

= 1/2 × length

4.2) Side of the triangle must be equal with the breadth of the rectangle

= side = breadth

4.3) The area of the triangle must be half of the area of the rectangle.

4.4) Ratio of area of the triangle

= A1/A2 = (side1/side2)²

Learn more,

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