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Keith_Richards [23]
3 years ago
6

In the figure, side AB is given by the expression 1 + 3, and side BC is 21 – 4.

Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer:

\text{Area}=\frac{15(x+1)}{2(x-2)}

Step-by-step explanation:

Length of the rectangle given in the picture = \frac{5x+5}{x+3}

Width of the rectangle = \frac{3x+9}{2x-4}

Area of the rectangle = Length × Width

                                    = \frac{5x+5}{x+3}\times \frac{3x+9}{2x-4}

                                    = \frac{5(x+1)}{x+3}\times \frac{3(x+3)}{2(x-2)}

                                    = \frac{15(x+1)(x+3)}{2(x+3)(x-2)}

                                    = \frac{15(x+1)}{2(x-2)}

Therefore, area of the given rectangle is \frac{15(x+1)}{2(x-2)}.

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4 0
3 years ago
The larger of two numbers is 12 more than the smaller number. if the sum of the two numbers is 74 find the two numbers.
STatiana [176]
Hi there!

Let th' two number be ' a ' and ' b ' [ a > b ]

According to th' question :-

→ The largest of two numbers is 12 more than the smaller number.

a = 12 + b ---(i)

→ Sum of the two numbers is 74.

a + b = 74

b = 74 - a ---(ii)

Substitute th' value of ' b in Eqn. :-

a = 12 + (74 - a)

a = 86 - a

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Now,
Substitute th' value of ' a ' in Eqn. (ii)

b = 74 - b

b = 74 - 43

b = 31

Hence,
The required answer is :-

• The smaller number is 31
• The largest number is 43

~ Hope it helps!

7 0
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A house blueprint has a scale of 1 in. : 4 ft. The length and width of each room in the actual house are shown in the table. Com
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width (16 ft) ----------------> [blueprint]=(1/4)*16=4 in

Part 4) Bedroom 1   
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see the attached figure to view the table

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3 years ago
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