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:

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

Try another example

Related math problems and questions:

• Perctentages
  35% of what number is 35?
• 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?
• Parcel
  Both dimensions of the rectangular parcel were increased by 31%. By how many % has increased its acreage?
• Forest land
  The land area of 320 ha has 30% of the wood. How many hectares of land are not afforested?
• Base of percentages
  7% of the base is 35 kg. What is 39% of that base?
• Roof cover
  Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m² of sheet metal is needed to cover this roof if 5.5% of the sheet we must add for joints and waste.
• 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?
• 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 the rectangle will be increased by 30 m. What are the dimensions of the
• 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?
• Rectangle
  The width of the rectangle is 65% of its length. Perimeter of the rectangle is 132 cm. Determine the dimensions of the rectangle.
• Map scale
  On a 1:1000 scale map is a rectangular land of 4.2 cm and 5.8 cm. What is the area of this land in square meters?
• Original plan
  Gardeners planted 16% more currant bushes than originally planned. In total, they planted x = 435 shrubs. What was the original plan?
• Built-up area
  John build up area 5 x 7 = 35 m² with building with a wall thickness 30 cm. How many centimeters would have to subtract from thickness of the walls that built-up area fell by 9%?
• 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?
• 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.
• 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 land
  Due to the new road, the longer dimension of the rectangular plot had to be shortened by 4 percent, and the shorter dimension shrunk by 10 percent. By how many percent has the area of land decreased?