Question

you have a rectangular box the sum of ghe length and breadth of the box is 27 cm and the area of box 182cm².what will be the lenght and breadthof the box​

Answer 1

Step-by-step explanation:

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Hey there,

The length , breadth and height are length = 28cm , breadth = 21 cm and height = 14 cm.

The length , breadth and height of the rectangular box are in the ratio 4:3:2.

Let us assume the common multiple of the ratios be x.

The length(l) becomes 4x , breath(b) becomes 3x and the height(h) becomes 2x.

Now the total surface area of the rectangular box is given as 2548 cm².

Total surface area =2(lb + bh +hl)

Substituting the values in the formula,

TSF =

2548 =

2548 =

1274 =

49 =

x = 7.

Therefore, length = 28cm , breadth = 21 cm and height = 14 cm.

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Hope this will help you...

✔️❤__________________❤✔️

Answer 2

Answer:

Length = 13 OR 14 cm

Breadth = 14 OR 13 cm

Step-by-step explanation:

Given, l + b = 27 cm, Area = 182 cm²

Suppose length is x cm then breadth = (27 - x) cm

Now let's equate,

⇒ x(27-x) = 182     (∵ Area = length * breadth)

⇒ 27x - x² = 182

⇒ x² - 27x = -182    (Multiplying both sides by -1)

⇒ x² - 27x + 182 = 0    (Adding 182 on both sides)

⇒ x² - 13x - 14x + 182 = 0

   (Think of two numbers whose sum is -27 and product is 182)

⇒ x(x - 13) - 14(x - 13) = 0         (Let's solve the quadratic equation)

⇒ (x - 13)(x - 14) = 0

⇒ x = 13 OR 14

Hence, the length & breadth can be 13 cm or 14 cm respectively or vice-versa.