Rectangles

How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles.

Correct answer:

n =  6

Step-by-step explanation:

S=ab=60 a>b 60=2×2×3×5=22×3×5  a1=10,b1=6 a2=12,b2=5 a3=15,b3=4 a4=20,b4=3 a5=30,b5=2 a6=60,b6=1  n=6



We will be pleased if You send us any improvements to this math problem. Thank you!






avatar




Tips to related online calculators
Do you solve Diofant problems and looking for a calculator of Diofant integer equations?

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

Related math problems and questions:

  • How many
    rectangles How many different rectangles with integer page lengths have an area S = 60 cm²?
  • Rectangles
    rectangles_1 Vladimir likes to draw rectangles. Yesterday he created all rectangles that had sides in centimeters and a circumference of 18 cm. How many rectangles of different dimensions have been drawn?
  • Tiles
    tiles_1 The room has dimensions 12 m and 5.6 m. Determine the number of square tiles and their largest possible size to cover them room's floor.
  • Two rectangles
    rectangles2_2 I cut out two rectangles with 54 cm², 90 cm². Their sides are expressed in whole centimeters. If I put these rectangles together I get a rectangle with an area of 144 cm2. What dimensions can this large rectangle have? Write all options. Explain your calc
  • Square gardens
    zahrada_1 The gardening colony with dimensions of 180 m and 300 m is to be completely divided into equally large square areas with the largest possible area. Calculate how many such square areas can be obtained and determine the side length of the square.
  • Tiles
    100dlazdic How many tiles of 20 cm and 30 cm can build a square if we have a maximum of 100 tiles?
  • Tiles path
    tiles_3 A rectangular park measures 24mX18m. A path 2.4m wide is constructed all around it. Find the cost of paving the path with cement tiles of size 60cm X 40cm at the rate of $5.60 per tile ?
  • Pool tiles
    bazen_5 The pool is 25m long, 10m wide, and 160cm deep. How many m2 of tiles will be needed on the walls and the pool? How many tiles are needed when 1 tile has a square shape with a 20cm side? How much does it cost when 1m2 of tiles costs 258 Kc?
  • Tiles
    tiles2 The rectangular floor of the 6 x 1.8 m dimensions is to be covered with 50 cm square tiles. How many tiles will be needed?
  • Tiles
    kachlicky Hall has dimensions 325 &time; 170 dm. What is the largest size of square tiles that can be entire hall tiled and how many we need them?
  • Tiles
    dlazdice From how many tiles 20 cm by 30 cm we can build a square of maximum dimensions, if we have maximum 881 tiles.
  • Square
    namestie_tr_iso Calculate the area of the square shape of the isosceles triangle with the arms 50m and the base 60m. How many tiles are used to pave the square if the area of one tile is 25 dm2?
  • Playground
    plot_ihrisko.JPG Fencing square playground cost € 464; 1-meter cost € 19. What is the area of the playground?
  • Rectangles
    rectangles How many rectangles with area 8713 cm2 whose sides are natural numbers are?
  • Tiles
    rectangles The tile has the shape of a square with a side of 15 cm. What dimensions can a rectangle composed of 90 of these tiles have so that no tile remains?
  • Tiles
    wall-tiles-img-5 How many square tiles with an area of 121 cm2 have to be ordered for the square room's paving with a side length of 2.75 meters?
  • Together
    work_1 If 8 men, 10 women, 16 children collects ₹1024 in 4 days, how many days will be required for 6 men, 5 women and 4 boys to collect ₹768? (₹ is Indian Rupee)