emilyann1091 emilyann1091
  • 23-05-2024
  • Mathematics
contestada

The width of a rectangle is 14 centimeters more than the length. The perimeter is 252 centimeters. Find the length and width.

Respuesta :

chibabykalu16
chibabykalu16 chibabykalu16
  • 23-05-2024

Answer:

length = 56cm

width = 70cm

Step-by-step explanation:

Given:

  • w = l + 14 cm
  • Perimeter (P) = 2(l + w)

Where:

[tex]\boxed{P = (2(l+w)}[/tex]

252 cm = 2l + 2(l +14cm)

252cm = 2l + 2l + 28 cm

252cm = 4l + 28cm

4l = 252cm - 28cm

4l = 224cm

l = 224cm/4

l = 56cm

Substituting Length of 56cm into the main formula

P = 2(l + w)

252cm = 2(56 + w)

252cm = 112cm + 2w

2w = 252cm - 112cm

2w = 140cm

w = 140cm/2

w = 70cm

Therefore, the values of length and width simplify to:

  • length = 56cm
  • width = 70cm
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