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8_murik_8 [283]
2 years ago
8

The rectangle shown has a perimeter of 56 cm and the given area. Its length is 8 times more than three times its width. Write an

d solve a system of equations to find the dimensions of the rectangle.
Mathematics
1 answer:
Anna35 [415]2 years ago
3 0

Answer:

Dimensions of rectangle = <u>23 cm x 5 cm</u>

Step-by-step explanation:

<u>Equations we can form</u>

  • Perimeter of 56 cm

⇒ 2L + 2W = 56

⇒ L + W = 28

  • Length is 8 more than 3 times its width

⇒ L = 3W + 8

<u>Substitute in previous equation</u>

⇒ 3W + 8 + W = 28

⇒ 4W = 20

⇒ W = <u>5 cm</u>

<u></u>

⇒ L = 28 - 5 = <u>23 cm</u>

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