Answer the following questions based on the shapes given below. 1) What is the perimeter of shape B? 2) Which shape's perimeter is less? Shape A or shape D 3) Area of which shape is more? 4) Area of which shapes are equal? 5) Which shape has equal perimeter and area? 10
Answers
Answer:
1) The perimeter of a two-dimensional shape is the distance around the shape. It is found by adding up all the sides (as long as they are all the same unit). The area of a two-dimensional shape is found by counting the number of squares that cover the shape.
2) shape D
3) Rectangle l × w l = length w = width
4) A two-dimensional equable shape (or perfect shape) is one whose area is numerically equal to its perimeter. For example, a right angled triangle with sides 5, 12 and 13 has area and perimeter both have a unitless numerical value of 30
5) a right angle triangle
Given : Figure
To Find :
1) What is the perimeter of shape B?
2) Which shape's perimeter is less? Shape A or shape D.
3) Area of which shape is more?
4) Area of which shapes are equal?
5) Which shape has equal perimeter and area?
Solution:
perimeter of shape B = 2 (5 + 2) = 14 units
Area = 5 * 2 = 10 sq units
perimeter of Shape A = 7 + 3 + 2 * 2√2
= 10 + 4√2 = 15.66 units
Area = (1/2)(7 + 3) * 2 = 10 sq units
perimeter of Shape D = 4 x 4 = 16 units
Area of shape D = 4 * 4 = 16 Sq units
perimeter of Shape A is Less than Shape D
Perimeter of Shape C = 10 + 4√2 = 15.66 units
Area of Shape C = 2 ( 1/2) ( 5 + 7)* 1 = 12 sq units
Area of shape D is more
Area of A & B are Equal
Which shape has equal perimeter and area - Shape D
Learn More:
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