MATHEMATICS MIDDLE SCHOOL

A garden box has a perimeter of 27 1/2 feet. If the length is 9 feet, what is the area of the garden box?

Answers

Answer 1
Answer: Perimeter = (Length x 2) + (Width x 2)
27.5 = (9 x 2) + (Width x 2)
27.5 = 18 + (Width x 2)
9.5 = (Width x 2)
4.75 = Width

Let's check:
27.5 = (9 x 2) + (4.75 x 2)
27.5 = 18 + 9.5
27.5 = 27.5 

Since the width is 4.75 and the length is 9, we can multiply the two to get the area. 4.75 x 9 = 42.75 sq. ft.
Answer 2
Answer:

The area of the garden box is 42³/₄ feet² = 42,75 feet²

Further explanation

To solve the above questions, we need to recall some of the formulas as follows:

Area of Square = (Length of Side)²

Perimeter of Square = 4 × (Length of Side)

Area of Rectangle = Length × Width

Perimeter of Rectangle = 2 × ( Length + Width )

Area of Rhombus = ½ × ( Diagonal₁ + Diagonal₂ )

Perimeter of Rhombus = 4 × ( Length of Side )

Area of Kite = ½ × ( Diagonal₁ + Diagonal₂ )

Perimeter of Kite = 2 × ( Length of Side₁ + Length of Side₂ )

Let us now tackle the problem !

Given:

Perimeter = P = 27 ¹/₂ feet

Length = L = 9 feet

Unknown:

Area = ?

Solution:

First we calculate the width of the garden box

\texttt{Perimeter} = 2 * ( \texttt{Length + Width} )

27(1)/(2) = 2 * ( 9 + \texttt{Width} )

27(1)/(2) / 2 = ( 9 + \texttt{Width} )

13(3)/(4) = 9 + \texttt{Width}

\texttt{Width} = 13(3)/(4) - 9

\texttt{Width} = \boxed {4(3)/(4) ~ \texttt{feet}}

Finally we can calculate the area of the garden box

\texttt{Area} = \texttt{Length} * \texttt{Width}

\texttt{Area} = 9 * 4(3)/(4)

\texttt{Area} = \boxed {42(3)/(4) ~ \texttt{feet}^2}

Learn more

Answer details

Grade: College

Subject: Mathematics

Chapter: Two Dimensional Figures

Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width

Related Questions

Please help!!!!!#34
(x+y+2)(y+1) It is multiple choice
What is a range in math
During a cake eating contest a man ate 3-2/6 cakes and his son ate 2-4/6 cakes. How many cakes did they eat altogether?
Help I'm not comfortable with negative numbers

Write an equation in slope-intercept form for the line with slope 2 and y-intercept -6.

Answers

Answer:

gbhggghkrhbsbrk. r hbutb

Step-by-step explanation:

atekngijrwihO.fh

Answer:

y = 2x - 6 or y = 2/1x - 6

Step-by-step explanation:

Remember that the slope-intercept formula is y = mx + b. The "m" is always going to be the slope, and "b" is what the y-intercepts at. The slope could also be a fraction (meaning it rises up 2 and goes to the right 1). If you were to graph it using "2" as the slope, it would be done the same way.

I hope I didnt miss anything and that this helps! :)

Help me please i really need help a lot of opints

Answers

Answer:

tee hee hhee

Step-by-step explanation:

Fresh pond has a population of 854 and it’s increasing by 3 people per year. Strawberry has a population of 427 and it’s increasing by 10 people per year. In how many years will the two villages have the same number of residents?

Answers

Answer:

The number of years that will the two villages have the same number of residents is 61 years

Step-by-step explanation:

Let's assume number of years as 'x'

First Pond:

Fresh pond has a population of 854

and it’s increasing by 3 people per year

so, we can find equation for population of first pound

P=854+3x

Second pond:

Strawberry has a population of 427

and it’s increasing by 10 people per year

so, we can find equation for population of first pound

P=427+10x

Since, populations are equal

so, we can set both equation equal and then we can solve for x

P=427+10x=854+3x

427+10x=854+3x

7x=427

x=61

So,

The number of years that will the two villages have the same number of residents is 61 years

Please answer ASAP! An explanation is a MUST REQUIREMENT in order to receive points and the Brainliest answer. Thank you.

Answers

rememer
√(xy)=(√x)(√y)
revers

(√24)(√12)=√288

√288=(√144)(√2)=12√2

or recognize
√24=(√12)(√2) so
(√24)(√12)=(√2)(√12)(√12)=(√2)12=12√2


2nd from left

Show a reciprocal numerical expression for each equation using multiplication, please!2/3 divided by 4

1/8 divided by 3

3/4 divided by 6

1/6 divided by 2

Answers

(2)/(3)÷ 4 = (2)/(3) * (1)/(4) = (1)/(6)

(1)/(8)÷ 3 = (1)/(8) * (1)/(3) = (1)/(24)

(3)/(4)÷ 6 = (3)/(4) * (1)/(6) = (1)/(8)

(1)/(36)÷ 2 = (1)/(6) * (1)/(2) = (1)/(12)

10+-2f^2+-6+7+-2f^2+-9f

Answers

10+-2f^2+-6+7+-2f^2+-9f = 10-2f^2 -6+7-2f^2 -9f \n\n= -2f^2 -2f^2 -9f+10-6+7= \boxed {-4f^2 -9f +11}
10+(-2f^(2))+(-6)+7+(-2f^(2))+(-9f)=10-2f^2+1-2f^2-9f

-4f^2-9f+11=-(4f^2+9f-11)
Other Questions
Please help me I need it by tomorrow
What is the mean absolute deviation for the data? 30, 30, 35, 35, 40 A. 3.2 B. 5 C. 10 D. 34
TRUE OR FALSE: Every diameter of a circle is a chord. Justify your answer using what you know about diameters and chords.
only 6 of the 75 trees in the park are at least 30 feet tall. what percentage of the trees are under 30 feet tall?