Mathematics, 21.09.2019 02:30 serianmollel

Arectangle has side lengths of 1 3/4 feet and 2 1/3 feet. find the perimeter of the rectangle. write your answer as a mixed number in simplest form.

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Answer from: mem8163

8 feet

Step-by-step explanation:

Rectangles have congruent opposite side lengths. This means that if one of its longer sides were 2 1/3 feet and one of its shorter sides were 1 3/4 feet then the other longer side would also be 2 1/3 feet and the other shorter side would be 1 3/4 feet.

Therefore to find the perimeter, you would take the given side lengths and multiply them each by 2 to account for both of the congruent sides.

2(2 1/3) + 2(1 3/4) = perimeter of rectangle

To multiply these fractions they would have to be converted into improper fractions. Multiply the whole number by the denominator and add the numerator---keeping the denominator the same in the converted form.

2 1/3 ⇒ 7/31 3/4 ⇒ 7/4

Now you can multiply these fractions by 2. Multiply the numerators by 2 and keep the denominator the same.

2(7/3) + 2(7/4) 14/3 + 14/4

To add them they should have common denominators so multiply 14/3 by 4/4 and 14/4 by 3/3.

14/3 (4/4) = 56/1214/4 (3/3) = 42/12

Add 54/12 and 42/12 together by combining the numerators and keeping the denominators the same.

54/12 + 42/12 = 96/12

You can simplify this improper fraction even more by dividing 96 by 12 since 12 is a factor of 96.

96/12 = 8

The perimeter of the rectangle is 8 feet.

Answer from: chris858232

The perimeter of given rectangle is $8\frac{1}{6}\text{ feet}$ .

Step-by-step explanation:

We are given the following information in the question:

Width of rectangle =

$1\displaystyle\frac{3}{4}\text{ feet}$

Length of rectangle =

$2\displaystyle\frac{1}{3}\text{ feet}$

Formula:

Perimeter of rectangle =

$2\times (\text{Length + Width})$

Putting the values:

$2\times (1\displaystyle\frac{3}{4} + 2\frac{1}{3})\\\\=2\times (\frac{7}{4} + \frac{7}{3})\\\\=2\times (\frac{21+28}{12})\\\\=2\times \frac{49}{12}\\\\=\frac{49}{6}\\\\=8\frac{1}{6}$

Hence, the perimeter of given rectangle is $8\frac{1}{6}\text{ feet}$ .

Answer from: Quest

if you mean

$(x - 8)(3x + 7)$

then it's c. 8, -7/3

but if you mean

$( {x}^{2} - 8)(3x + 7)$

then it is

$x = 2 \sqrt{2} \: \: and \: \: x = - \frac{7}{3}$

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

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Arectangle has side lengths of 1 3/4 feet and 2 1/3 feet. find the perimeter of the rectangle. write...