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n200080 [17]
3 years ago
15

In a rectangle, the sides have measurements of 2x + 1 and 3x - 5 units Find an expression for the area of the rectangle, in squa

re units.​
Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

(6 {x}^{2}   - 7x - 5) \:  {units}^{2}

Step-by-step explanation:

Area of rectangle = Product of sides

= (2x + 1) \times (3x - 5) \\  = 2x(3x - 5) + 1(3x - 5) \\  = 6 {x}^{2} - 10x + 3x - 5 \\ area \: of \: rectangle \:  \\  = (6 {x}^{2}   - 7x - 5) \:  {units}^{2}

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1.)
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Step-by-step explanation:

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Of all rectangles with area 324324​, which one has the minimum​ perimeter? Let P and w be the perimeter and​ width, respectively
ra1l [238]

Answer:

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Step-by-step explanation:

Given;

Area of the rectangle = 324 units²

P is the perimeter

w is the width

Let L be the length of the rectangle

therefore,

P = 2(L + w)  ............(1)

also,

Lw = 324

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L = \frac{324}{w} ..........(2)

substituting 2 in 1

P = 2(\frac{324}{w} + w)

now,

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or

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or

w² = 324

or

w = 18 units

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therefore,

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L = \frac{324}{18}

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