Question

Find the breadth of a rectangle whose perimeter is 76cm and length is 26cm.

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Answer 1

*Question:—

Find the breadth of a rectangle whose perimeter is 76cm and length is 26cm.

*Answer:—

→ perimeter (p) = 76 cm

→ length (l) = 26 cm

→ width (w) = ?

Using the fact that the perimeter is the sum of all sides, we can use the information given to solve for the missing width of the rectangle.

→ p = 2l + 2w

→ 76 = 2 × 26 + 2w

→76 = 52 + 2w

→ 24 = 2w

→ w = 12

The width is 12 cm.

$@vikramjeethSai$

Answer 2

$\overline{\underline{\boxed{\sf GIVEN \darr}}}$

Find the breadth of a rectangle whose perimeter is 76cm and length is 26cm

$\overline{\underline{\boxed{\sf HOW \: TO \: DO \darr}}}$

Step 1 : We need to assume the value of Breadth with any variable

Step 2 : After that we will apply the formula :

Perimeter = 2(Length + Breadth)

Step 3 : We need to put their respective values and then we will simplify to get the Breadth

Step 4 : At last we will re-check that the value of Breadth is correct or not.

$\overline{\underline{\boxed{\sf LET \: US \: ASSUME \darr}}}$

• The breadth be B

$\overline{\underline{\boxed{\sf SOLUTION \darr}}}$

Given that

Perimeter = 76 cm

Length = 26 cm

Using the formula to get the Breadth :

• Perimeter = 2(Length + Breadth)

Putting the values we get :

• 76 cm = 2(26 cm + B)

Transposing 2 on the left hand side

• 76 cm/2 = 26 cm + B

• 38 cm = 26 cm + B

It can be written as

• B = 38 cm - 26 cm

• B = 12 cm

∴ The breadth of the rectangle is 12 cm

$\overline{\underline{\boxed{\sf VERIFICATION \darr}}}$

Perimeter = 2(Length + Breadth)

76 cm = 2(26 cm + 12 cm)

76 cm = 2 × 38 cm

76 cm = 76 cm

Hence, Verified !!