Question

Please give me answer its PISA test please give me , ​

Answer 1

EQUABLE SHAPES

• Equable shape: the geometric figure whose perimeter and area are numerically equal, is called an equable shape.

Solution:

• The first figure is a rectangle:
• Length = 4.5
• Width = 3.6
• Then,
• Perimeter = 2 (4.5 + 3.6) = 16.2
• Area = 4.5 × 3.6 = 16.2

• Since the perimeter and the area of the rectangle have the same numerical value, the rectangle is an equable shape.

• The second figure is a triangle:
• Area = 1/2 * (3 + 3) * 4 = 12

• The given triangle is divided into two right-angled triangles.

• The hypotenuse of a right-angled triangle is
• = √(4² + 3²) = 5

• Then the perimeter of the large triangle is
• = 2 * 5 + 2 * 3 = 16

• Since the area and the perimeter have different numerical value, the triangle is not an equable shape.

Option a) Figure A