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valentinak56 [21]
3 years ago
10

180 Added to the product of 45 and a number totals negative 720. Write an equation to determine the number.

Mathematics
1 answer:
IrinaVladis [17]3 years ago
6 0

Answer:

45x + 180 = - 720

Step-by-step explanation:

Let the required number be x.

Therefore, product of 45 and x = 45x

180 added to 45x = 45x + 180

Since, 180 Added to the product of 45 and a number totals negative 720.

So, 45x + 180 = - 720

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Solution :

For the bigger rectangle

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Now we know,

Area = length x width

$a=l \times w$

$120=(2W) \times (W+4)$

$120=2W^2 + 8W$

$2W^2+8W-120=0$

$W^2+4W-60=0$

$(W+10)(W-6) = 0$

We get, either W=-10   (rejecting)

                or     W=6

∴ length of the bigger rectangle, $L=2W $

                                                          = 2(6)

                                                           = 12 m

 Length of the smaller rectangle, $L=2W$

                                                            = 2(6)

                                                           = 12 m

Hence, the length of the two gardens is 12 m.                                                            

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