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Masja [62]
3 years ago
14

Find the prime factorization of 1,148 using a factor tree

Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0

Answer:

Prime Factors of 1148 = 2, 2, 7, 41

Which is the same as = 2² x 7 x 41

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This is a gardener's floor plan of their backyard. Enter the amount of grass, in square yards
Tasya [4]

Amount of grass in the backyard is 0.641 square yards    

               

<h3>What is a square?</h3>

Any 2-dimensional figure bounded by 4 sides whose all sides are equal and all the angles are 90° is called a square.

<h3>How to find the area of a square?</h3>

Area of a square can be found by squaring the length of one of its sides.

<h3>What is a rectangle?</h3>

Any 2-dimensional figure bounded by 4 sides whose opposites sides are equal and parallel and all the angles are 90° is called a rectangle.

<h3>How to find out area of a rectangle?</h3>

Area of a rectangle can be found by multiplying its length by its breadth.

<h3>How to calculate the area in the given problem?</h3>

The given figure is a combination of multiple figures.

  • 1 square of length 3 cm on top
  • 1 rectangle in the middle whose length is ( 2 + 3) cm = 5 cm, and breadth is 3 cm
  • 1 larger rectangle at the bottom whose length is 10 cm and breadth is 3 cm.
  • We will have to calculate these areas and sum up the areas to get the entire area.
  • Area of the square at the top = ( 3 x 3) cm² = 9 cm²
  • Area of the middle rectangle = ( 5 x 3) cm² = 15 cm²
  • Area of the bottom rectangle = (10 x 3) cm² = 30 cm²

∴ Total area of the backyard = ( 9 + 15 + 30) cm² = 54 cm²

Amount of grass in the backyard = (54 x 0.109² ) square yards

                = 0.641 square yards               ( 1 cm = 0.109 yards)

Find out more information about area calculations here: brainly.com/question/1297098

#SPJ2

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