Rectangular land

On a rectangular land with dimensions of 35 m and 18.5 m is a house with a square floor plan with a side of 14 m. What % of the land is not occupied?

Correct answer:

p =  69.7297 %

Step-by-step explanation:

$$\begin{gathered} a=35\text{ m } \\ b=18.5\text{ m } \\ c=14\text{ m } \\ {S}_1=a\cdot b=35\cdot 18.5={\displaystyle \frac{1295}{2}}=647.5{\text{m}}^2 \\ {S}_2=c^2=14^2=196{\text{m}}^2 \\ p={\displaystyle \frac{S_1-S_2}{S_1}}\cdot 100={\displaystyle \frac{647.5-196}{647.5}}\cdot 100={\displaystyle \frac{2580}{37}}=69.7297\mathrm{\%} \end{gathered}$$

Try another example

Related math problems and questions:

• Parcel
  Both dimensions of the rectangular parcel were increased by 31%. By how many % has increased its acreage?
• The hall
  The hall had a rectangular ground plan one dimension 20 m longer than the other. After rebuilding the length of the hall declined by 5 m and the width has increased by 10 m. Floor area increased by 300 m². What were the original dimensions of the hall?
• Land
  Rectangular triangular land has area 30 square meters and 12 meters long leg. How many meters of the fence do you need for fencing this land?
• Hop-garden
  The length of the rectangular hop garden Mr. Smith increased by 25% and its width by 30%. What is the percentage change in area of hop garden?
• Hall
  Rectangular hall will have pave by square tiles with a side length 15 cm. The hall has length 18 meters and width 3 m. How many tiles need to buy if 2 percent of the amount is disrupted during the work?
• Rectangular garden
  The perimeter of Peter's rectangular garden is 98 meters. The width of the garden is 60% shorter than its length. Find the dimensions of the rectangular garden in meters. Find the garden area in square meters.
• Scale
  The swimming pool is long 110 m and 30 m wide. The plan of the city is shown as a rectangle with an area 8.25 cm². What scale is the city plan?
• Square side
  If we enlarge the square side a = 5m, its area will increase by 10,25%. How many percent will the side of the square increase? How many percent will it increase the circumference of the square?
• Tiles
  The pupils of the building school have to calculate how many roof tiles they will need to cover the roof of the house in the shape of two rectangles measuring 10 x 7.2 m. One roof tile covers a rectangular area of 22 cmx32 cm. How many tiles will they nee
• Rectangular plot
  The dimensions of a rectangular plot are (x+1)m and (2x-y)m. If the sum of x and y is 3m and the perimeter of the plot is 36m. Find the area of the diagonal of the plot.
• The room
  The room has a cuboid shape with dimensions: length 50m and width 60dm and height 300cm. Calculate how much this room will cost paint (a floor is not painted) if the window and door area is 15% of the total area and 1m² cost 15 euro.
• Plot
  The length of the rectangle is 8 smaller than three times the width. If we increase the width by 5% of the length and the length is reduced by 14% of the width, the circumference of rectangle will be increased by 30 m. What are the dimensions of the recta
• Digging
  A pit is dug in the shape of a cuboid with dimensions 10mX8mX3m. The earth taken out is spread evenly on a rectangular plot of land with dimensions 40m X 30m. What is the increase in the level of the plot ?
• Two lands
  The common area of the two neighboring lands is 964 m². The second land is 77 m² smaller than twice the size of the first land. Find the areas of each land.
• Rectangle area
  The length of a rectangle of x units is increased by 10%, and its width of y units is increased by 15%. What is the ratio of the area of the old rectangle to the area of the new rectangle?
• Rectangle
  The width of the rectangle is 65% of its length. Perimeter of the rectangle is 132 cm. Determine the dimensions of the rectangle.
• Floor
  The floor area of ​​the room is 31 m² and has a width of 4.3 m. How many centimeters of circumference measured the floor on the map at the scale 1:75?