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mart [117]
3 years ago
7

The length of a rectangle is 7 centimeters greater than the width. If 4 centimeters are added to both the length and the width,

the new area would be 98 square centimeters. Find the dimensions of the ORIGINAL rectangle, list the SMALLER dimension first.
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

  3 cm by 10 cm

Step-by-step explanation:

Assuming the new dimensions are integers, we can look at the factors of 98 to see what they might be.

  98 = 1·98 = 2·49 = 7·14

The latter two factors differ by 7, so are the dimensions after 4 is added. The original dimensions are ...

  7 - 4 = 3 . . . . cm

  14 -4 = 10 . . . . cm

The dimensions of the original rectangle are 3 cm by 10 cm.

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2 years ago
AB, CD and EF are straight lines. AB is parallel to CD. Work out the size of angle y
mylen [45]

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Step-by-step explanation:

Simplifying

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Solving

16 + 2x = -12 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

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16 + -1x = -12 + 3x + -3x

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Add '-16' to each side of the equation.

16 + -16 + -1x = -12 + -16

Combine like terms: 16 + -16 = 0

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