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A rectangle of sides 5 cm and 2 cm is cut out from a bigger rectangle of sides 14 cm and 7 cm to form a new shape as shown below.
What is the perimeter of the new shape formed?

a. 46 cm
b. 40 cm
c. 22 cm
d. 20 cm

A rectangle of sides 5 cm and 2 cm is cut out from a bigger rectangle of sides 14 cm and 7 cm to form a new shape as shown below What is the perimeter of the ne class=

Respuesta :

SvetlanaM

Answer: a. 46 cm

Step-by-step explanation:

(7 + 14) × 2 + 2× 2 = 46 (cm)

adioabiola

The perimeter of the new shape formed when a smaller rectangle is cut out is 46 cm

Given:

Smaller rectangle

length = 5 cm

width = 2 cm

perimeter of smaller rectangle = 2(length + width)

= 2(5 + 2)

= 2(7)

= 14

Larger rectangle

length = 14 cm

width = 7 cm

perimeter of larger rectangle = 2(length + width)

= 2(14 + 7)

= 2(21)

= 42 cm

perimeter of new shape = perimeter of larger rectangle + 2 × 2

= 42 + 4

= 46 cm

Therefore, the perimeter of the new shape formed when a smaller rectangle is cut out is 46 cm

Learn more about perimeter of a rectangle:

https://brainly.com/question/17297081

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