Question

Lorena's garden is surrounded by a corridor of uniform width. The garden and the hallway together cover an area of 320 square meters. If the garden measures 12 meters by 16 meters. determines the width of the hallway

215

likes
1074 views

Answer to a math question Lorena's garden is surrounded by a corridor of uniform width. The garden and the hallway together cover an area of 320 square meters. If the garden measures 12 meters by 16 meters. determines the width of the hallway

Expert avatar
Eliseo
4.6
109 Answers
A continuación se explica cómo resolver el problema: **1. Encuentra el área del jardín:** * Área del jardín = largo * ancho * Área de jardín = 12 metros * 16 metros = 192 metros cuadrados **2. Encuentra el área total del jardín y el pasillo:** * El jardín y el pasillo combinados tienen una superficie de 320 metros cuadrados. **3. Encuentra el área del pasillo:** * Área del pasillo = Área total - Área del jardín * Área del pasillo = 320 metros cuadrados - 192 metros cuadrados = 128 metros cuadrados **4. Modela el pasillo:** * Imagine el pasillo como un marco alrededor del jardín. Llamemos al ancho del pasillo "x". * El largo del jardín más el doble del ancho del pasillo sería 12 + 2x. * El ancho del jardín más el doble del ancho del pasillo sería 16 + 2x. **5. Establecer una ecuación** * El área del pasillo es igual al área total menos el área del jardín: (12 + 2x)(16 + 2x) - 192 = 128 **6. Resuelve la ecuación:** * Ampliar la ecuación: 192 + 56x + 4x^2 - 192 = 128 * Simplificar: 4x^2 + 56x - 128 = 0 *Dividir ambos lados entre 4: x^2 + 14x - 32 = 0 * Factorizar: (x + 16)(x - 2) = 0 *Resolver para x: x = -16 o x = 2 **7. Elija la solución positiva:** *El ancho del pasillo no puede ser negativo, por lo que el ancho del pasillo es de 2 metros. **Respuesta:** El pasillo tiene un ancho de 2 metros.

Frequently asked questions (FAQs)
Find the length of an unknown side in a right triangle with a given adjacent side and angle using the SOH CAH TOA rule.
+
Question: What is the volume of a sphere with a radius of 5 units? Use the formula V = 4/3 * π * r^3.
+
Question: What is the period of the function f(x) = 2sin(3x) - cos(4x) in radians?
+
New questions in Mathematics
Simplify the expression sin³(x)+cos³(x), using trigonometric functions
Let the vectors be u=(-1,0,2) , v=(0,2,-3) , w=(2,2,3) Calculate the following expressions a)<u,w> b) &lt;2u- 5v,3w&gt;
5/8 x 64
String x = 5 Int y=2 System.out.println(x+y)
For a temperature range between -3 degrees Celsius to 5 degrees Celsius, what is the temperature range in degrees Farenheight
x/20*100
The main cost of a 5 pound bag of shrimp is $47 with a variance of 36 if a sample of 43 bags of shrimp is randomly selected, what is the probability that the sample mean with differ from the true mean by less than $1.4
Identify a pattern in the list of numbers.Then use this pattern to find the next number. 37,31,25,19,13
Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll?
In a grocery store, when you take out 3 peppers and 4 carrots, there are 26 peppers and 46 carrots left. How many peppers and carrots were there initially?
What’s the slope of a tangent line at x=1 for f(x)=x2. We can find the slopes of a sequence of secant lines that get closer and closer to the tangent line. What we are working towards is the process of finding a “limit” which is a foundational topic of calculus.
Suppose that you use 4.29 g of Iron in the chemical reaction: 2Fe(s) + 3 Cu2 + (aq) 2Fe 3 + (aq) + 3Cu(s ) - . What is the theoretical yield of Cu (s), in grams?
Your boss asks you to plan the sample size for a randomized, double-blind, controlled trial in the clinical development of a cure for irritable bowl disease. Current standard treatment shall be compared with a new treatment in this trial. The S3-guideline of AWM demonstrated a mean change of the summary score of the validated health related quality of life questionnaire at 8 weeks of 16 with standard deviation 23 under standard treatment. You quote the drop-out rate of 11% from literature (previous phase of clinical development). Your research yielded a clinically important effect of 4 that has been found to be the Minimal Clinically Important Difference (MCID). In order to demonstrate superiority of the new treatment over standard of care, you assume that the change in of the summary score of the validated health related quality of life questionnaire follows a normal distribution, and that the standard deviation is the same for both treatments. How many patientes would one need to recruit for the trial to demonstrate the clinically interesting difference between treatments at significance level 5% with 95% power?
Estimate the quotient for 3.24 ÷ 82
9.25=2pi r solve for r
List five numbers that belong to the 5 (mod 6) numbers. Alternate phrasing, list five numbers that satisfy equation x = 5 (mod 6)
prove that for sets SS, AA, BB, and CC, where AA, BB, and CC are subsets of SS, the following equality holds: (A−B)−C=(A−C)−(B−C)
A membership to the gym cost $25 per person in 1995. The membership cost has increased by an average $6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995. What is the cost of a gym membership in 2009?
What is the percentage of nitrogen abundance in copper dinatrate Cu(NO3)2
The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?