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. A quilt is 72 inches wide and 88 inches long. If the quilt has no border or sashing and the
blocks have 4 inch sides, how many blocks does the quilt have?
[A] 396
[B] 160
[C] 6336
[D] 320
[E] 469
4. A quilt is 42 inches wide and 69 inches long, including a border of 3 inches all the way around.
The quilt’s square blocks have 9-inch sides. If you don’t count the border, how many blocks
does the quilt have?
[A] 27
[B] 39
[C] 18
[D] 28
[E] 42

Respuesta :

mhanifa

Answer:

  • [A] 396,
  • [D] 28.

Step-by-step explanation:

Question 1

The area of the quilt is:

  • A(q) = 72*88 = 6336 in²

The area of each block:

  • A(b) = 4*4 = 16 in²

Number of blocks:

  • n = A(q) / A(b) = 6336/16 = 396 in²

Correct choice is [A]

Question 2

Dimensions of the quilt excluding borders on each side:

  • Width = 42 - 3*2 = 42 - 6 = 36 in,
  • Length = 69 - 3*2 = 69 - 6 = 63 in.

Area of the quilt:

  • A(q) = 36*63 = 2268 in²

Area of each block with side 9 in:

  • A(b) = 9*9 = 81 in²

Number of blocks:

  • n = A(q) / A(b) = 2268/81 = 28

Correct choice is [D]

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