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larisa86 [58]
3 years ago
6

The figure below represents a play space that Logan fenced in for his dog.

Mathematics
1 answer:
Wittaler [7]3 years ago
8 0

Answer:

Difference in area = 75 ft²

Step-by-step explanation:

Case 1 (When logan had only  one dog):

length of the play space= 12 ft

breadth of the play space= 10 ft

we know that area of a rectangle is length times breadth (length x breadth)

therefore, area of the play space= 12*10

                                                      =120ft^{2}

Case 2(When Logan had two dogs):

Given: Logan wants to increase the length of the play space by 3 feet  and width by 3 feet

⇒length of the play space= 12+3 ft=15 ft

breadth of the play space=10+3 ft=13 ft

we know that area of a rectangle is length times breadth (length x breadth)

therefore, area of the play space= 15*13

                                                      =195ft^{2}

Therefore difference in the area of play space = 195-120

                                                                                =75 ft²

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