Question

the pierimter is 26. the with is 5. what is the lengthn

Answer 1

Step-by-step explanation:

perimeter of rectangle=2(l+b)

26=2(l+5)

26/2=l+5

13=l+5

13-5=l

l=8

Answer 2

➤ Correct Question :-

The Perimetre of the rectangle is 16 metres. It's width measures 5 metres. What is the length of the rectangle.

$\:$

★ How to do :-

Here, we are given with a rectangle whose Perimetre is 26 metres and it's width measures 5 metres. We aren't given with the length of the rectangle. We are also asked to find the same. We can easily find the measurement of the length of that rectangle by some other concepts. The formula to be used here is the formula which is used to calculate the perimetre of the rectangle. We substitute the values of the width and the Perimetre and then we find the value of length by the concept called as transposition method. While we use this method, the sign of the appropriate number changes. So, let's solve!!

$\:$

➤ Solution :-

Breadth of the rectangle :-

${\sf \leadsto \underline{\boxed{\sf Perimetre = 2 (Length + Breadth)}}}$

Substitute the given values.

${\sf \leadsto 26 = 2 (L + 5)}$

Multiply the number 2 with both numbers in bracket.

${\sf \leadsto 26 = 2L + 10}$

Shift the number 10 from RHS to LHS, changing it's sign.

${\sf \leadsto 2L = 26 - 10}$

Subtract the values on RHS.

${\sf \leadsto 2L = 16}$

Shift the number 2 from LHS to RHS.

${\sf \leadsto L = \dfrac{16}{2}}$

Simplify the fraction to get the value of length.

${\sf \leadsto L = 8 \: metres}$

$\:$

${\red{\underline{\boxed{\sf So, \: the \: breadth \: of \: the \: rectangle \: is \: 8 \: metres.}}}}$

━━━━━━━━━━━━━━━━━━━━━

Verification :-

${\sf \leadsto Perimetre = 2 (Length + Breadth)}$

Subatitute the values.

${\sf \leadsto 26 = 2 (8 + 5)}$

Add the numbers in bracket.

${\sf \leadsto 26 = 2 (13)}$

Multiply the numbers on RHS.

${\sf \leadsto 26 = 26}$

So,

${\sf \leadsto LHS = RHS}$

$\:$

Hence verified !!