Question

heya solve these two...​

Answer 1

1)Solution:-

Length = 22 m and Breadth = 15.5 m

The area of the hall = L × B = 22 × 15.5 = 341 m²

Margin of carpet = 75 cm = 0.75 m

Area of carpet = (22 - 2 × 0.75) (15.5 - 2 × 0.75)

⇒ (22 - 1.5) (15.5 - 1.5)

Area of the carpet = 20.5 × 14 = 287 m²

Portion uncovered = 341 - 287 = 54 m²

A meter length of the carpet = 1 m × 0.82 m = 0.82 m²

287/0.82 = 350 m of carpet

Cost of fencing the strip = Rs.60 per meter

Cost of fencing the strip = 350 × 60

= Rs. 21000

2) Solution:

Next Gurukul

Learner's Section

WikiK-12 Wiki

AssessmentAssessments

ForumQ&A Forum

Educator's Section

MOOCMOOCs

Join Experts PanelJoin Experts Panel

Next WorldThe Next World

arrow_backAcademic Questions & Answers Forum

Shivanshuawasthi

Mar 10, 2015

The square lawn is surrounded by a path 2.5m wide. If the area of the path is 165 Sq., find the area of lawn.

The square lawn is surrounded by a path 2.5m wide. If the area of the path is 165 Sq., find the area of lawn.

question_answer Answers(2)

edit Answer

person

Raghunath Reddy

Consider the side of the lawn be x

Given width of the path = 2.5m

Side of the lawn including path = x + 2(2.5m) = x + 5m

So, area of lawn = (Area of the lawn including the path) - (Area of the path)

Area of a square = (side)2

Therefore, we say :

x2 = (x + 5)2 – 165 m2

x2 = (x2 + 10x +25) - 165m2

x2 = x2+ 10x + 25 - 165

x2 = x2 + 10x - 140

x2 - 140 = x2 - 10x

x2 - x2 - 140 = -10x

-140 = -10x

i.e 140 = 10x

Therefore x = 140/10 = 14

Since the side of the lawn = 14 m

The area of the lawn = (14)2 or 196 m2.

THANKS ☺☺

Answer 2

It's a square so, the length of path inside would be equal to that of square's

So, ar of of path = ar of big square -ar of small square

Side of big square = x(let)

Side of small square = x-4-4=x-8

So, 165=x²-(x-8)²

165=x²-(x²+64-16x)

165=x²-x²-64+16x

165+64/16=x²

x=13

Now side of small square = 13-8=5

So area of small square i. e. Lawn =16²=256m²