Question

1. In a rectangular garden of 100 m long and 75 m broad a walkway of 5 m wide is built inside t
garden. Find the area of the walkway.​

Answer 1

GIVEN:-

• A rectangular garden of 100m long and 75m broad.
• A walkway of 5m is built inside the garden.
• We've to find the area of walkway.

⠀

$\mathbb{REQUIRED \: ANSWER}$

➛ 1650m²

⠀

$\sf\Large{\underline{\underline{Explaination:-}}}$

(Refer to the attachment for better understanding)

First, we need to find the area of garden (ABCD).

Formula using here:-

$\underline{\boxed{\sf \purple{{area}_{(Rectangle)}= \: length\times breadth}}}$

⠀

${{\sf{{area}_{(Rectangle)}= \: (100\times 75)m}}}$

${{\sf{{area}_{(Rectangle)}= \: 7500 {m}^{2} }}}$

★ Area of graden (ABCD) is 7500m².

⠀

Now, we will find the area of inner rectangle (PQRS).

Where,

• PQ and RS = 100m - (5m + 5m) = 90m
• PR and QS = 75m - (5m + 5m) = 65m

⠀

${{\sf{{area}_{(Rectangle)}= \: (90\times 65)m}}}$

${{\sf{{area}_{(Rectangle)}= \: 5850 {m}^{2} }}}$

★Area of PQRS = 5850m².

⠀

Now, Subtract the area of PQRS from ABCD.

${{\sf{Area \: of \: walkway = Area \: of \: ABCD \: – \: Area \: of \: PQRS}}}$

${{\sf{ \: \: \: \: \: \: \: 7500 {m}^{2} \: – \:5850 {m}^{2} }}}$

${{\sf \green{ \: \: \: \: \: \: \: \: \: \: \: \:1650 {m}^{2} }}}$

⠀

${\underline{\underline{\sf{\orange{Hence \: the \: area \: of \: walkway \: is \: 1650m². ,}}}}}$

⠀