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 shortened by 10 percent. By how many percent has the area of land decreased?

Correct answer:

p =  13.6 %

Step-by-step explanation:

q1=4%=14100=0.96 q2=10%=110100=0.9  S=a b r=q1 q2=0.96 0.9=108125=0.864 S1=r S  p=100 (1r)=100 (10.864)=13.6%

Did you find an error or inaccuracy? Feel free to write us. Thank you!


Tips to related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

  • Harry
    land Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length, their longer sides are three consecutive natural numbers. Fi
  • Rectangular land
    domcek 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?
  • Percent change
    rectangles If the length of a rectangle is increased by 25% and the width is decreased by 10%, the area of the rectangle is larger than the area of the original rectangle by what percent?
  • Rectangular plot
    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.
  • Rectangle area
    rectangles 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
    rectangle 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.
  • Rectangles - sides
    rectangles One side of the rectangle is 10 cm longer than second. Shortens longer side by 6 cm and extend shorter by 14 cm increases the area of the rectangle by 130 cm2. What are the dimensions of the original rectangle?
  • Rectangular field
    field One dimension of the rectangular field is 56 m greater than second dimension. If each side of the rectangle increases by 10 m, increases the surface field is 1480 m2 . Determine dimencions of the field.
  • The hall
    lucerna 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?
  • Three gardens
    land Is it possible to divide a plot of land with an area of 920 m2 into three gardens in a ratio of 4: 2: 3 so that their areas are only whole multiples of square meters?
  • Forest land
    woord The land area of 320 ha has 30% of the wood. How many hectares of land are not afforested?
  • Digging
    Dighole 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 ?
  • Mr Duma
    garden Mr Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1;Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has pl
  • Tiles
    strecha 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
  • Map scale
    rectangles 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?
  • Percentage and rectangle
    obdelnik2 About what percentage increases perimeter and area of a rectangle if both the sides 12 cm and 10 cm long we increase by 20%?
  • Parcel
    land_parcel Both dimensions of the rectangular parcel were increased by 31%. By how many % has increased its acreage?