MathMaster logo

MathMaster

  1. Home
  2. general
  3. lorena s garden is surrounded by a corridor of uniform width the garden and the hallway together cover an area of 320 squa
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
110 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)
What is the probability of drawing two black marbles from a bag containing 5 black and 3 white marbles?
+
What is the length of a side in a triangle given the measures of two angles and the length of the adjacent side?
+
What is the derivative of cos^2(x) - 3sin^2(x) + 2tan(x), with respect to x?
+
New questions in Mathematics
Solve: −3(−2x+23)+12=6(−4x+9)+9.
A person who weighs 200 pounds on earth would weigh about 32 pounds on the moon. Find the weight of a person on earth who would weigh 15 pounds on the moon.
String x = 5 Int y=2 System.out.println(x+y)
P is a polynomial defined by P(x) = 4x^3 - 11×^2 - 6x + 9. Two factors are (x - 3) and (x + 1). Rewrite the expression for P as the product of linear factors.
An electrical company manufactures batteries that have a duration that is distributed approximately normally, with a mean of 700 hours and a standard deviation of 40 hours. Find the probability that a randomly selected battery has an average life of less than 810 hours.
Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)
A pair of die is thrown and the absolute difference of the two scores is recorded. What is the probability of the absolute difference being 4 or more?
15/5+7-5
Task 1 angel has 3 quarters 3/8 of a tank of gasoline and Miguel 7/8, who has more gasoline? number line on number line
Suppose you have a sample of 100 values from a population with mean mu = 500 and standard deviation sigma = 80. Given that P(z < −1.25) = 0.10565 and P(z < 1.25) = 0.89435, the probability that the sample mean is in the interval (490, 510) is: A)78.87% B)89.44% C)10.57% D)68.27%
User The average height of Aranka, Böske, Cili, Delinke and Lili is 172 cm. We know that Aranka and Cili are both 172 cm tall. The sum of the heights of Böské and Delinke is 336 cm. How tall is Lili?
0.1x8.2
2)A tourist has 15 pairs of pants in his hotel room closet. Suppose 5 are blue and the rest are black. The tourist leaves his room twice a day. He takes a pair of pants and puts them on, the tourist leaves the first pair of pants in the closet again and takes another one and puts them on. What is the probability that the two pants chosen are black?
A Smooth Plane is listed for $195.00. Discounts of 12% and 10% are allowed. If the customer pays cash within 30 days, an additional discount of 3% is granted. What is the cost if a carpenter takes advantage of all the discounts offered?
Buffalo Company makes and sells shampoo. Each unit requires $1.40 labor costs, material costs per unit are $0.90 and other variable costs are $0.30. It sells shampoo for $4.45 to retailers. Fixed costs are $15,000. It sold 25,000 units in the current month. What is the Break-Even point in units? What is the Break-Even point in dollars? What is the contribution margin of Buffalo Company?
2x2
Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.
Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?
7- A printing company found in its investigations that there were an average of 6 errors in 150-page prints. Based on this information, what is the probability of there being 48 errors in a 1200-page job?
Solve the following system of equations using substitution. y=-4x- 11. 3x+7y=-2

You might be interested in