area questions and answers
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Area Questions and Answers
Q) A blanket lost 20% length and 10% width when washed. Evaluate the decrease percentage of blanket area?Explanation :• Let us assume, Actual length = L and Actual width =
w.• According to the question,• Decrease in area = LW - 80/100 L × 90/100 W =
LW - 18/25 LW = 7/25 LW.• ∴ Decrease % = 7/25 ( LW × 1/LW × 100 ) % =
28%.
Ans) 28%.
Q) A rectangular room with 20m × 15m dimensions will be layed with a carpet by leaving 2m from the walls. Calculate the cost of the carpet where 50rs is the cost per sq metre?Explanation:• According to the question,we have to leave 2m
from the walls --> 2 + 2 = 4m• Area of the carpet = [(20 - 4) × (15 - 4) ]sq.ft =
176sq.ft.• ∴ Cost of the carpet = Rs. (176 × 50) =Rs. 8800.
Ans) Rs. 8800
Q) Calculate the cost of gardening which has one metre broad boundary, Where the rectangular plot perimeter is 340 metres at the rate of Rs. 10 per square metre?Explanation• 2 (I + b) = 340 (given).• Area of the boundary = [ (I + 2) (b + 2) – Ib ] = 2 (I +
b) + 4 = 344.• ∴ Cost of gardening =Rs. (344 × 10) = Rs. 3440
Ans) Rs. 3440
Q) Find the least number of square marbels needed to pave the floor whose dimensions are 15m 17cm × 9m 2cm?Explanation :• According to the question we need to find the least
no of marbels for paving of given floor. So we have to take the largest marble.
• Length of largest marble = H.C.F of 1517 cm and 902 cm = 41 cm.
• Area of each marble = (41 × 41) cm².• Required number of marbles = (1517 × 902) / (41
×41) = 814. • Ans) 814
Q) Calculate the length of the fencing of a plot, whose area is 1360ft. Here you have to leave one side of plot open whose length is 40ft?Explanation : • According to the question, Length = 40ft and area
= 1360ft• So Area = Length × width --> Width =
Area/Length• ---------> Wdth = 1360/40 ---> 34• So, Width = 34 ft.• ∴ Length of fencing = (Length + 2Width) = (20 +
(2 × 34) )ft = 88 ft.Ans) 88
Q) How many poles required to lay a fence for a 90m × 50m plot by leaving 10 meters apart?Explanation :• First we have to calculate perimeter of the given
rectangular plot,• Perimeter of the plot = 2. (length + width) = 280 m.• ∴ Number of poles = 280/10 = 28.
Ans) 28
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