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if the perimeter of a rectangle is 48cm and the breath is 6cm. What is the length.​

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18cm

Step-by-step explanation:

the perimeter of a rectangle is the width/breadth (I'm calling it width) + the other width on the opposite side + the length + the length on the opposite side

(perimeter is a measure of the border length)

so,

l + l + w + w = perimeter

if the width is 6, our new equation is:

l + l + 6 + 6 = 48

l + l + 12 = 48

now, if we subtract 12 from both sides of the equation...

l + l + 12 = 48

- 12 -12

l + l = 36

(number plus itself is equal to the number x2)

2L = 36

divide both sides by 2...

2L = 36

__ __

2 2

L = 18

So, the length of the rectangle is 18 cm

(to check, we can add 18 + 18 + 6 + 6 = 48)
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Here's your solution ~

Perimeter of a rectangle is :

$$\qquad \sf \dashrightarrow \: P= 2l + 2b$$

where,

- P = perimeter = 48 cm

- l = Length = ?

- b = breadth = 6 cm

$$\qquad \sf \dashrightarrow \: 48 = 2l + 2(6)$$

$$\qquad \sf \dashrightarrow \: 2l = 48 - 2(6)$$

$$\qquad \sf \dashrightarrow \: 2l = 48 -12$$

$$\qquad \sf \dashrightarrow \: 2l = 36$$

$$\qquad \sf \dashrightarrow \: l = 36 \div 2$$

$$\qquad \sf \dashrightarrow \: l = 18 \: cm$$

So, length if the rectangle is 18cm
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