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Debora [2.8K]
3 years ago
14

the perimeter of football field in a rectangular form of a certain school is 296cm if the breath is2/3 of the length find the le

ngth field​
Mathematics
2 answers:
Pani-rosa [81]3 years ago
6 0

Answer:

L = 29.6 cm

Step-by-step explanation:

Let Length be L and Breadth be B

<u><em>Condition 1:</em></u>

2(Length)+2(Breadth) = Perimeter

Where Perimeter = 296 cm

=> 2L + 2B = 296

=> 2(L+B) = 296

<em>Dividing both sides by 2</em>

=> L + B = 148   ------------------(1)

<u><em>Condition 2:</em></u>

=> B = \frac{2}{3} L  -------------------------(2)

Putting Equation 2 in 1

=> L + \frac{2}{3} L  = 148

Multiplying both sides by 3

=> 3L + 2L = 148

=> 5L = 148

=> L = 148/5

=> L = 29.6 cm

Nesterboy [21]3 years ago
5 0

Turn the words into math symbols. This is an exercise in abstract substitution.

P = perimeter

Breath = Width

Perimeter = L+L+W+W

So…

P = 296

296 = L+L+W+ W

W=2/3* L

296 = L+L+2/3L+2/3L

296 = 2L+ 4/3 L

296 = 10/3 L

Multiply both sides by three…

888 = 10L

88.8 = L

Calculate in reverse to double check…

88.8+88.8+59.2+59.2 = 296

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