nacomiwashington nacomiwashington
  • 06-03-2020
  • Mathematics
contestada

The length of a rectangle is 12 cm more than its width. Find the
area of the rectangle if its perimeter is 100 cm.

Respuesta :

bhuvna789456
bhuvna789456 bhuvna789456
  • 09-03-2020

Dimensions of the rectangle (width and length) are 19 cm and 31 cm respectively.

Step-by-step explanation:

  • Step 1: Given that the perimeter = 100 cm, let width be x cm and then length = 12 + x.

Perimeter of a rectangle = 2(length + width)

100 = 2(x + 12 + x)

100 = 4x + 24

4x = 100 - 24 = 76

∴ x = 76/4 = 19 cm

∴ Length = 19 + 12 = 31 cm

Answer Link

Otras preguntas

Maya spent 1/5 of her money on a book. If she had $80 left over after she bought the book, how much money did she have originally?
Complete the pattern: 123, 234, 345.
A person paddles down river at an average speed of 4km
what is three-quarters of sixty-four
Which was the purpose of the Iroquois League? A. to elect leaders for the nations of the Great Plains B. to break down trade barriers among Indian nation
what were some of the changes in Puritan society
What is 48229930 to the nearest thousand
The first floor of Marcus’ house is 1,440 square feet. He will cover 1,033 square feet with wood and the rest with tile. A box of tiles will cover 11 square fee
how to write 1,376.864 in expanded form
tim went shopping and spent $31.79 at each 3 stores