admin

06.07.2022 - 03:19

The length of a rectangle is 3 more than twice the width. The area of the rectangle is 119 square inches. What are the dimensions of the rectangle? If x = the width of the rectangle, which of the foll

Question:

The length of a rectangle is 3 more than twice the width. The area of the rectangle is 119 square inches. What are the dimensions of the rectangle? If x = the width of the rectangle, which of the following equations is used in the process of solving this problem?

{eq}(a) 2x^ 2 + 3x – 119 = 0\ (b) 3x ^2 + 3x – 119 = 0\ (c) 6x ^2 – 119 = 0 {/eq}

Answers (1)

Odell April 5, 2023 в 12:35

The dimensions of the rectangle are 7 inches by 18 inches. Let's use the equation A = lw to solve for the dimensions of the rectangle. We are given that the area of the rectangle is 119 square inches, so A = 119. We are also told that the length of the rectangle (l) is 3 more than twice the width (w), or l = 2w + 3. Substituting this into the area equation, we get: 119 = (2w + 3)w 119 = 2w^2 + 3w 2w^2 + 3w - 119 = 0 This gives us equation (a). Solving for w using the \quadratic formula, we get w = 7 or w = -8.5. We can disregard the negative value, so the width of the rectangle is 7 inches. Substituting this back into l = 2w + 3, we get l = 2(7) + 3 = 17. Therefore, the dimensions of the rectangle are 7 inches by 17 inches. The equation used in the process of solving this problem is (a) 2x^2 + 3x - 119 = 0.

Do you know the answer?

Leave a comment Cancel Response

Not sure about the answer?

Find the right answer to the question The length of a rectangle is 3 more than twice the width. The area of the rectangle is 119 square inches. What are the dimensions of the rectangle? If x = the width of the rectangle, which of the foll by subject Math, and if there is no answer or no one has given the right answer, then use the search and try to find the answer among similar questions.

Search for other answers

New questions in the category: Math

What does dx/dx mean?

The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $24.00. With the coupon book, the fare is reduced to $1.00.Determine the number of times

A roll of aluminum wire is used to make finishing nails (nails that do not have heads). If the nails are 5.00cm long and 0.300cm in diameter and the roll of wire has a mass of 225kg, how many nails can be made from one roll?

Evaluate the function f(x)=x^2+6x-9 at the given values of the independent variable and simplify. a. f(-6) b. f(x+9) c. f(-x)

Solve the equation for the indicated variable. \frac{a + 5}{b} = \frac{a – 5}{b} + \frac{b + 5}{a}; for a

An airplane has a speed 590 km/h . If a wind begins blowing from the southwest at a speed of 94.9 km/h (average). In what direction should the pilot aim the plane so that it will fly due south?

The total scores on the Medical College Admission Test (MCAT) follow a Normal distribution with mean 24.4 and standard deviation 6.2 . What are the median and the first and third quartiles of the MCA

Find the slope and y-intercept of the line y = 6x-4.

Rewrite the \quadratic function in standard form and give the vertex. f(x) = x^2 + 5x + 5 y = boxed{space} (x – boxed{space})^2 + boxed{space}

Solve the compound inequality: 3x – 5 greater than -17 and 4x + 3 less than 15.

What is a mathematical phrase?

What is the supplement of a 40-degree angle?

A banana peel weighs 1/8 the total weight of a banana. If an unpeeled banana balances a peeled banana of the same weight plus 7/8 of an ounce, how much does the banana weight with the peel?

In a departmental store one cashier is there to serve the customers. And the customers pick up their needs by themselves. The arrival rate is 9 customers for every 5 minutes and the cashier can serve 10 customers in 5 minutes. Assuming Poisson arrival rat

How do you add three fractions with whole numbers?

Solve 2x – 7 = 6x – 15

What are examples of things weigh more than a ton?

If 2x – 3y = 11 and 3x + 15 = 0, what is the value of y?

The average hourly wage of plumbers is normally distributed with a mean of $34.00 and a standard deviation of $6.00. Calculate each of the following: a. the proportion of plumbers earning between $18 and $22 b. the proportion of plumbers earning more than

Use the differential to \approx imate the radical expression. Then use a calculator to \approx imate the quantity, and give the absolute value of the difference in the two results to 4 decimal places. squ

Authorization

Password generation