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mrs_skeptik [129]
4 years ago
8

Joaquin has created a small treasure map that is in the shape of a square. He decides to make a larger version of the map, and o

n this new map he increases each side by 6 inches. The area of this larger version of the map is 121 square inches. What are the dimensions of his original, smaller map? 5 inches by 5 inches 8 inches by 8 inches 11 inches by 11 inches 17 inches by 17 inches
Mathematics
2 answers:
likoan [24]4 years ago
9 0
A - side of small map
a+6 - side of larger map
(a+6)² - area of larger map

(a+6)² = 121
(a+6)² = 11²    |√(...)
a+6 = 11    |-6
a+6-6 = 11-6
<span>a = 5

</span>Answer A. <span>5 inches by 5 inches</span>
Furkat [3]4 years ago
6 0

Answer:

A 5 inches by 5 inches

Step-by-step explanation:

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Let number of box seats = x

Let number of lower deck seats = y

Let number of upper deck seats = z

As per question statement:

x+y+z=10000 ...... (1)

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Cost for x box seats = 10x

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Cost for y lower deck seats = 8y

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Cost for z lower deck seats = 5z

As per question statement:

10x+8y+5z=70000 ..... (2)

z = 4x ..... (3)

Putting value of y in (1) and (2):

x+y+4x=10000\\\Rightarrow 5x+y=10000 ....... (4)

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8 \times (4) - (5):

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