Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A square with an area of 6 units ^(2) is dilated by a scale factor of (2)/(3). Find the area of the square after dilation. Round your answer to the nearest tenth, if necessary. Answer: units ^(2)

A square with an area of 66 units 2 ^{2} is dilated by a scale factor of 23 \frac{2}{3} . Find the area of the square after dilation. Round your answer to the nearest tenth, if necessary.\newlineAnswer: units 2 ^{2}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 6right chevron icon
Scale drawings: word problemsright chevron icon

Full solution

Q. A square with an area of 66 units 2 ^{2} is dilated by a scale factor of 23 \frac{2}{3} . Find the area of the square after dilation. Round your answer to the nearest tenth, if necessary.\newlineAnswer: units 2 ^{2}
  1. Find Side Length: Determine the side length of the original square. Since the area of a square is equal to the side length squared, we can find the side length by taking the square root of the area. Area=side length2\text{Area} = \text{side length}^2 6=side length26 = \text{side length}^2 side length=6\text{side length} = \sqrt{6}
  2. Calculate New Side Length: Calculate the side length of the square after dilation.\newlineThe new side length is found by multiplying the original side length by the scale factor.\newlineNew side length = original side length ×\times scale factor\newlineNew side length = 6×(23)\sqrt{6} \times \left(\frac{2}{3}\right)
  3. Calculate New Area: Calculate the area of the square after dilation.\newlineThe area of the dilated square is equal to the new side length squared.\newlineNew area = (new side length)2(\text{new side length})^2\newlineNew area = (6×(23))2(\sqrt{6} \times (\frac{2}{3}))^2\newlineNew area = 6×(23)26 \times (\frac{2}{3})^2\newlineNew area = 6×(49)6 \times (\frac{4}{9})\newlineNew area = 249\frac{24}{9}\newlineNew area = 2.666...2.666...\newlineSince we need to round to the nearest tenth, the new area is approximately 2.72.7 units2^2.

More problems from Scale drawings: word problems

Question
Mr. Hansraj wants to find the least number of boxes to be added to get a perfect square. He already has 79247924 boxes with him. How many more boxes are required?\newline(A)819(A)819\newline(B)412(B)412\newline(C)419(C)419\newline(D)176(D)176
Get tutor helpright-arrow

Posted 8 months ago

Question
A lake near the Arctic Circle is covered by sheet of ice during the cold winter months. When spring arrives, the ice starts to melt.\newlineSS models the ice sheet's thickness (in meters) after tt weeks.\newlineS=−0.25t+4S=-0.25t+4\newlineWhat is the ice sheet's thickness at the beginning of spring?\newlinemetersmeters
Get tutor helpright-arrow

Posted 8 months ago

Question
Melanie practices the piano 14351435 minutes in 55 weeks. Assuming she practices the same amount every week, how many minutes would she practice in 44 weeks?\newlineAnswer: minutes
Get tutor helpright-arrow

Posted 8 months ago

Question
Emily practices the piano 595595 minutes in 55 weeks. Assuming she practices the same amount every week, how many minutes would she practice in 44 weeks?\newlineAnswer: minutes
Get tutor helpright-arrow

Posted 8 months ago

Question
Jayden practices the piano 896896 minutes in 44 weeks. Assuming he practices the same amount every week, how many minutes would he practice in 55 weeks?\newlineAnswer: minutes
Get tutor helpright-arrow

Posted 8 months ago

Question
Ai Mi practices the piano 10641064 minutes in 44 weeks. Assuming she practices the same amount every week, how many minutes would she practice in 33 weeks?\newlineAnswer: minutes
Get tutor helpright-arrow

Posted 8 months ago

Question
Which of the following sets of numbers could represent the three sides of a triangle?\newline{12,20,34} \{12,20,34\} \newline{4,6,11} \{4,6,11\} \newline{10,12,21} \{10,12,21\} \newline{13,18,33} \{13,18,33\}
Get tutor helpright-arrow

Posted 8 months ago

Question
Which of the following sets of numbers could represent the three sides of a triangle?\newline{15,26,41} \{15,26,41\} \newline{5,10,16} \{5,10,16\} \newline{13,27,40} \{13,27,40\} \newline{15,27,40} \{15,27,40\}
Get tutor helpright-arrow

Posted 8 months ago

Question
Which of the following sets of numbers could represent the three sides of a triangle?\newline{12,19,31} \{12,19,31\} \newline{10,25,37} \{10,25,37\} \newline{10,15,26} \{10,15,26\} \newline{7,21,27} \{7,21,27\}
Get tutor helpright-arrow

Posted 9 months ago

Question
Which of the following sets of numbers could represent the three sides of a triangle?\newline{4,14,18} \{4,14,18\} \newline{7,11,19} \{7,11,19\} \newline{4,8,10} \{4,8,10\} \newline{10,24,35} \{10,24,35\}
Get tutor helpright-arrow

Posted 8 months ago

View all (35)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant