Question

(ii) Two cross roads each 1.5 m wide run at right angles through the centre of a squarepack of side 60 m such that each is parallel to one side. Find the area of remain portionof the park.

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Answer 1

${\large{\frak{\pmb{\underline{Understanding \; the \; concept}}}}}$

☀ Correct question : Two cross roads, each are in 1.5 m wide, run at right angles through the centre of a square park of side 60 metres such that each is parallel to one side. Find the area of remain portion of the park.

☀ Concept : This question says that we have to find the area of the remain portion of the park whose data is given as -

❍ Two cross roads, each are in measurement of 1.5 metres in breadth at they run at right angles through the centre of a square park of side 60 metres such that each is parallel to one side.

${\large{\frak{\pmb{\underline{Given \; that}}}}}$

★ Total roads = 2

★ Breadth of the both roads = 1.5 m

(Both roads run at right angles through the centre of a square park)

★ Side of square park = 60 m

${\large{\frak{\pmb{\underline{To \; find}}}}}$

★ The area of remain portion of the park.

${\large{\frak{\pmb{\underline{Solution}}}}}$

★ The area of remain portion of the park = 3420 m²

${\large{\frak{\pmb{\underline{Using \; concept}}}}}$

★ Formula to find area of roads (according to the question)

★ Formula to find area of parks (according to the question)

★ Formula to find area of remaining portion (according to the question)

${\large{\frak{\pmb{\underline{Using \; concept}}}}}$

★ Formula to find area of roads (according to the question) = Breadth that road are crossing each other × Side of square park.

★ Formula to find area of parks (according to the question) = Side of square park × Side of square park.

★ Formula to find area of remaining portion (according to the question) = Area of park - Combined(+) area of both roads

${\large{\frak{\pmb{\underline{Full \; Solution}}}}}$

~ Firstly let us find the area of roads, actually both will came similiar but let us find the area for both. Let's do it.!

~ Let's find area of first road!

✪ Area of roads = Breadth that road are crossing each other × Side of square park

➟ Area of road = 1.5 × 60

➟ Area of road = 90 metres²

• Henceforth, 90 metres² is the area of first road.

~ Let's find area of second road!

✪ Area of roads = Breadth that road are crossing each other × Side of square park

➟ Area of road = 1.5 × 60

➟ Area of road = 90 metres²

• Henceforth, 90 metres² is the area of second road.

~ Henceforth, area of both roads together!

✪ Area of both roads = Area of first road + Area of second road.

➟ Area of both road = 90 + 90

➟ Area of both road = 180 metres²

• Henceforth, 180 metres² is the area of both roads.

~ Now let's find the area of the square park!

✪ Area of square park = Side of square park × Side of square park

➟ Area of square park = 60 × 60

➟ Area of square park = 3600 m²

• Henceforth, area of square park is 3600 metres².

~ Now let's find the area of remaining portion of the park!

✪ Area of remaining portion = Area of park - Combined(+) area of both roads

➟ Area of remaining portion = 3600 - 180

➟ Area of remaining portion = 3420 m²

• Henceforth, 3420 m² is the area of remaining portion of the park.