Choose the correct answerA rectangle length is four times its breadth. It has an area of 900 square yards. What is the length of the rectangle ?Choose the best optionClear Response25060 yards6 yards25 yards
Question
Choose the correct answerA rectangle length is four times its breadth. It has an area of 900 square yards. What is the length of the rectangle ?Choose the best optionClear Response25060 yards6 yards25 yards
Solution
The area of a rectangle is calculated by multiplying its length by its breadth. In this case, we know that the area is 900 square yards and that the length is four times the breadth.
Let's denote the breadth as x. Therefore, the length is 4x.
The equation becomes: 4x * x = 900 or 4x^2 = 900
To solve for x, we divide both sides by 4: x^2 = 900 / 4 x^2 = 225
Taking the square root of both sides gives us the breadth: x = √225 x = 15
Since the length is four times the breadth, the length is: 4 * 15 = 60
So, the length of the rectangle is 60 yards.
Similar Questions
The length of a rectangle is 6 yards more than twice the width. The area of the rectangle is 36 𝑦𝑑2. Find the length.Responses3 yards3 yards8 yards8 yards12 yards12 yards18 yards
A flower bed has the shape of a rectangle 9 yards long and 3 yards wide. What is its area in square feet?Be sure to include the correct unit in your answer.
A rectangular field is 60 yards wide and 100 yards long.Give the length and width of another rectangular field that has the same perimeter but a larger area.width = yardslength = yards
A certain town has an area of 4.36 square miles.What is the area, in square yards, of this town?(1 mile = 1,760 yards)A) 404B) 7,674C) 710,459D) 13,505,536
A rectangular floor is 8 yards long and 3 yards wide. What is the area of the floor in square feet?Be sure to include the correct unit in your answer.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.