Question

A square that is 6ft on a side is placed inside a rectangle that has a width of 10ft and a length of 18ft. What is the area of the region inside the rectangle that surrounds the square?

193

likes
967 views

Answer to a math question A square that is 6ft on a side is placed inside a rectangle that has a width of 10ft and a length of 18ft. What is the area of the region inside the rectangle that surrounds the square?

Expert avatar
Bud
4.6
97 Answers
To find the area of the region inside the rectangle that surrounds the square, we need to find the area of the rectangle and subtract the area of the square.

1. Area of the rectangle:
Given length = 18ft, width = 10ft
Area of the rectangle = length x width
Area = 18 \times 10 = 180 \, ft^2

2. Area of the square:
Given side length = 6ft
Area of the square = side length x side length
Area = 6 \times 6 = 36 \, ft^2

3. Area of the region inside the rectangle that surrounds the square:
Area = Area of rectangle - Area of square
Area = 180 - 36 = 144 \, ft^2

\boxed{144 \, ft^2} is the area of the region inside the rectangle that surrounds the square.

Frequently asked questions (FAQs)
What is the area of a triangle with base 8 units and height 6 units?
+
Question: Find the limit as x approaches 2 of (x^2 - 4) / (cos(pi*x/2) - 1).
+
What is the equation of an ellipse with center (h,k) and major radius a along the x-axis and minor radius b along the y-axis?
+
New questions in Mathematics
Add. 7/w²+18w+81 + 1/w²-81
a ferry travels 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour.
Revenue Maximization: A company sells products at a price of $50 per unit. The demand function is p = 100 - q, where p is the price and q is the quantity sold. How many units should they sell to maximize revenue?
Write 32/25 as a percent
A car that starts from rest moves for 11 min, reaching a speed of 135 km/h, calculate the acceleration it had
Use the elimination to find the solution to each linear system. X+y=43 2x-y=20
what is the annual rate on ​$525 at 0.046​% per day for 3 months?
"If three wolves catch three rabbits in three hours, how many wolves would it take to catch a hundred rabbits in a hundred hours?" The answer is the number of response units.
(2b) to the 1/4th power. Write the expression in radical form.
v Is the following statement a biconditional? If Shannon is watching a Tigers game, then it is on television.
Solve : 15/16 divide 12/8 =x/y
show step by step simplification: (¬𝑑∨((¬b∧c)∨(b∧¬c)))∧((𝑎 ∧ 𝑏) ∨ (¬𝑎 ∧ ¬𝑏))∧(¬𝑐∨((¬𝑑∧𝑎)∨(𝑑∧¬𝑎)))
How many square feet of floor area are there in three two-storey apartment houses, each of which is 38 feet wide and 76 feet long?
Given (3x+2)E [2;14] how much money (in soles) does Sophia have if numerically it is the greatest value of x?
A machine produces 255 bolts in 24 minutes. At the same rate, how many bolts would be produced in 40 minutes?
9 x² + 2x + 1 = 0
The mass of 120 molecules of X2C4 is 9127.2 amu. Identify the unknown atom, X, by finding the atomic mass. The atomic mass of C is 12.01 amu/atom
The area bounded by the curve y=ln(x) and the lines x=1 and x=4 above the x−axis is
The following incoming payments show up at a tax inspection: 25 000€ on 19.01.2008, 140 000€ on 27.03.2008 and 19 000€ on a date that which is illegible, and 60 000€ on 15.06.2008. On which date did the payment of the 19 000€ appear, if on 30.06.2008 the money on the account (incl. interest at 4%) is 246 088.89€? Use simple interest and 30E/360 DCC. Solution: 45 days, 15.05.08
The slope of the tangent line to the curve f(x)=4tan x at the point (π/4,4)