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Oliga [24]
2 years ago
9

This is another math thingy

Mathematics
2 answers:
andriy [413]2 years ago
8 0

Answer:

7.15 (two sig figs)

Step-by-step explanation:

There is a time limit dude, googling is a faster way

1. Area of rectangle

A = l*z

2. Find z

93 = 13*z

z ≈ 7.15

balandron [24]2 years ago
4 0

Answer:

7km

Step-by-step explanation:

The given figure is a rectangle

The formula to find area of rectangle is,

l \times b

Here,

Length = 13km

Area = 91 km^2

Then breadth = 91/13

= 7 km

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I'm going to assume that the room is a rectangle.

The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. 

You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:
A = lw\\&#10;600 = (x+5)(x+4)\\&#10;600 =  x^{2} + 9x + 20&#10;

Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:
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Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
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Width = x + 4 = 20 + 4 = 24 ft.

The dimensions of your room are 25ft (length) by 24ft (width).
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