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

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:

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a. 46 cm

Step-by-step explanation:

(7 + 14) × 2 + 2× 2 = 46 (cm)

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: