sapphiretrebleclef sapphiretrebleclef
  • 21-06-2021
  • Mathematics
contestada

A rectangle's width is one-seventh its length, and its perimeter is 224 m. Find the dimensions of the rectangle.​

Respuesta :

rococo908
rococo908 rococo908
  • 21-06-2021

Answer:

98 m long and 14 m wide

Step-by-step explanation:

If the width is one seventh its length, the length is 7 times greater than the width.

Let the width be represented by w, and let the length be represented by 7w.

Use the perimeter formula, p = 2l + 2w.

Plug in 224 as the perimeter, 7w as l, and solve for w:

p = 2l + 2w

224 = 2(7w) + 2w

224 = 14w + 2w

224 = 16w

14 = w

The length is 7 times greater, so multiply this by 7:

14(7)

= 98

So, the rectangle is 98 m long and 14 m wide

Answer Link

Otras preguntas

1 yard is blank times as long as blank foot
How many solutions does this system have?A oneB noneC infinite​
A bag contains different colored jelly beans. In the bag, there are 5 red jelly beans, 3 blue jelly beans, 2 green jelly beans, and 2 yellow jelly beans. What i
Which of these was NOT a major military event during World War 2? Battle of Ypres Battle of Stalingrad Battle of Midway Invasion of Normandy
How did Paine depict the rule of England by William the Conqueror?
identify the slope and the y-intercept of the following function: y= 1/3x-9
Couch cost $499.00 and it is 20% off, what is the cost?
Salt water is which type of substance? a. solution b. molecule c. compound d. pure substance
A box of crayons contains 3 red, 5 blues, and 2 green. If a child chooses a crayon at random, find the probability of choosing a green crayon.
solve radical equation [tex]\sqrt{5x} = -5[/tex]