Select the correct answer.

A garden box has a perimeter of 18½ feet. If the length is 5 feet, what is the area of the garden box?

Travka [436]

Answer:

$area=\frac{85}{4}feet^{2}$

Step-by-step explanation:

1. Approach

Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.

2. Solve for the width

It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.

$perimeter=18\frac{1}{2}\\\\length=5$

$2(length+width)=perimeter$

Substitute,

$2(5+width)=18\frac{1}{2}$

Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.

$2(5+width)=\frac{37}{2}$

Inverse operations,

$2(5+width)=\frac{37}{2}\\/2\\\\5+width=\frac{37}{4}\\-5\\\\width=\frac{17}{4}$

3. Solve for the area

Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).

$length=5\\\\width = \frac{17}{4}$

$length*width=area$

Substitute,

$5*\frac{17}{4}\\\\=\frac{85}{4}$

$area=\frac{85}{4}feet^{2}$

4 0

3 years ago

How do you solve this?

konstantin123 [22]

Answer:

145

Step-by-step explanation:

180-137=43

43+102=145

4 0

2 years ago

Read 2 more answers

Find the measure of the arc.<br><br> 146°E<br><br> mFD =

Verizon [17]

Answer:

arc FD = 236°

Step-by-step explanation:

The measure of the arc is equal to the measure of the central angle it subtends, thus

arc FD = arc FE + arc ED = 146° + 90° = 236°

4 0

3 years ago

Fill in the missing numbers along the sides of the triangle so that it contains each of the numbers from 4 through 12 exactly on

elixir [45]

Answer: A B == 9 + 11 CD == 5 +7 E F == 6 + 10

Step-by-step explanation:

(This reminds me of a "formula" I developed a few years ago when I was photographing formal groups, and had to figyre out how many people to put in each row, and the rows had to be different lengths) Anyway--

Get the sum of the numbers at the angles, subtract that number from 32, and that's the amount needed for the row.

Once I have that number, divide by 2 and split as "n + 1 and n-1

AB side: angles given: 8 +4=12 , 32-12 =20 20/2 = 10; 10+1 =11 10-1=9

CD side: angles given: 8 + 12 =20, 32-20=12; 12/2 =6 6+1 =7 6-1 =5

EF side: angles given: 4 + 12 =16 32-16=16 My formula would have yielded 7+9, but those numbers were already used. Conveniently, 10 + 6 are left over. Same principle, but + or - 2.

Thanks for the opportunity to work in this!

It is a fun way for me to end my participation in Brainly for a while. My school year is over!

Good Luck, Stay Safe!

8 0

3 years ago

Jamal stands on a dock 1.5 meters above the surface of the water. A trout swims 4.8 meters below Jamal. What is the vertical dis

baherus [9]

Answer:

The correct answer is 4.8 meters.

Step-by-step explanation:

Jamal stands on a dock 1.5 meters above the surface of the water.

A trout swims 4.8 meters below Jamal.

The trout must be swimming below the surface of water.

Therefore the distance below the surface of water where the trout is swimming is 4.8 - 1.5 = 3.5 meters.

But the vertical distance between Jamal and the trout is 4.8 meters only.

5 0

3 years ago