A rectangular box is created by cutting out squares of equal sides

The remains of an ancient ball court include a rectangular playing alley with a perimeter of about 24m. The length of the alley

allsm [11]

ANSWER

Length of the playing alley = 9m

Width of the playing alley = 3m

STEP-BY-STEP EXPLANATION:

Given information

<em>The perimeter of a rectangular playing alley = 24 m</em>

<em>The length of the alley is three times the width</em>

Let l represents the length of the alley

Let w represents the width of the alley

Step 1: Write the formula for calculating the perimeter of a rectangle

$\text{Perimeter of a rectangle = 2(l + w)}$

Where l is the length and w is the width of the rectangle

Recall, length = 3 times the width of the alley

Mathematically,

$\begin{gathered} l\text{ = 3 }\times\text{ w} \\ l\text{ = 3w} \end{gathered}$

Step 2: Substitute the value of l = 3w into the above formula

$\begin{gathered} P\text{ = 2(l + w)} \\ p\text{ = 24m} \\ l\text{ = 3w} \\ 24\text{ = 2(3w + w)} \end{gathered}$

Step 3: Solve for w

$\begin{gathered} 24\text{ = 2(4w)} \\ 24\text{ = 8w} \\ \text{Divide both sides by 8} \\ \frac{24}{8}\text{ = }\frac{8w}{8} \\ w\text{ = 3 m} \end{gathered}$

From the calculations above, you will see that the width of the playing alley is 3m

Step 4: Solve for l

$\begin{gathered} \text{Recall, l = 3w} \\ w\text{ = 3} \\ l\text{ = 3 }\times3 \\ l\text{ = 9m} \end{gathered}$

Hence, the length of the playing alley is 9m

4 0

2 years ago

What is the slope of the function y=x+3

DIA [1.3K]

Answer:

3

Step-by-step explanation:

the equation is written in slope intercept for x is the number on the x axis and the + is the slope

3 0

3 years ago

Ben has $3.40 consisting of quarters and dimes. How many coins of each kind does he have if he has 22 coins? Which of the follow

ivanzaharov [21]

The correct answer is A. The number of dimes (d) and quarters (q) is 22, as said in the problem. So d + q = 22. We know that the total value of these dimes and quarters is $3.40 or 340 cents. We also know that dimes are worth 10 cents and quarters worth 25 cents. The total number of dimes and quarters would be represented like this: 10d + 25q = 340. Therefore A. is the correct answer.

4 0

3 years ago

6(x+4)= how to solve this ?

tino4ka555 [31]

Answer: 6x + 24

Explanation: In this problem, the 6 "distributes" through the parenthses, which means that it multiplies by each of the terms inside.

So we have 6(x) + 6(4) which simplifies to 6x + 24.

7 0

3 years ago

Read 2 more answers

1. Find the HCF of the following numbers by prime factorisation and continued division method10,35,40

statuscvo [17]

Answer:

Step-by-step explanation:

10 = 2*5

35 = 5*7

40 = 2*2*2*5

The number 5 is common to all three factorisations

So the HCF = 5.

Continued division:

10 and 35:

10) 35(3

30

5)10(2

10

0

- so the HCF of 10 and 35 is 5.

10 and 40:

10)40( 4

40

0

So the HCF of 10 and 40 is 10

We found HCF of 10 and 35 is 5 so:

HCF of 10, 35 and 40 is HCF of 5 and 10 which is 5.

4 0

3 years ago