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10. How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 ft long and 6 ft wide
(a) 24 (b) 96 (c) 3456 (d) 13824 (e) 1426
Read Solution (Total 21)
-
- No. of squares required on 4 feet side = 4 x 12 / 0.5 = 96 nos.
No. of squares required on 6 feet size = 6 x 12 / 0.5 = 144 nos.
Total no. of squares required for rectangle of 4 feet x 6 feet = 96 x 144 = 13824
- 9 years agoHelpfull: Yes(3) No(0)
- 1 ft = 12 inch
so 4 ft = 48 inch and 6ft = 72 inch
by length side rectangle can be divided into 144 parts of 1/2 inch each and by breadth it can be divided into 96 parts of 1/2 inch each.. now each square now made is of side 1/2 inch where that square can be placed
so 96*144 = 13824 which is the solution. - 9 years agoHelpfull: Yes(3) No(0)
- (d) 13824
Total Area of rectangle(in inches)=(4*12)*(6*12)
Squares needed to cover=(4*12)*(6*12)/[(1/2)*(1/2)]=13824 - 9 years agoHelpfull: Yes(1) No(0)
- (4*6*144)/.25=(4*6*144*4)=6*16*144=13824
- 9 years agoHelpfull: Yes(1) No(0)
- (4*120=96
(6*12)=144
96*144=13824 - 9 years agoHelpfull: Yes(1) No(0)
- in 4 ft side 48 inches
in 6 ft side 72 inches
no of squares in 4 ft side 96
no of squares in 6 ft side 144
ans=96*144=13824 - 9 years agoHelpfull: Yes(1) No(0)
- (b)96
area of rectangle=4*6=24
and area of square=.5*.5=.25
so no of squares=24/.25=96 - 9 years agoHelpfull: Yes(0) No(5)
- rectangle area = 6ft*4ft=24 ft^2 =24*12^2 inches (since 1feet=12 inches)
square area = 1/2 *1/2 =0.25
number of squares = rectangle area / square area = 24*12*12 / 0.25 = 13824
(d) is the correct answer - 9 years agoHelpfull: Yes(0) No(0)
- (4*12*6*12)/(0.5*0.5)
=13824 - 9 years agoHelpfull: Yes(0) No(0)
- area of rectangle should be equal to area of square
therefore 24*12*12*4 - 9 years agoHelpfull: Yes(0) No(0)
- no of sqaures needed to cover 6 ft wide = (6ft * 12) inches * 2 = 144
no of squares needed to cover 4 ft long= (4ft * 12) inches *2 = 96
total no of squares = 144*96 = 13824 - 9 years agoHelpfull: Yes(0) No(0)
- Area of rectangle is 6*4=24 fEet
Square area is 1/4 square inch
So the no.of square is 4 (square for square inch)*144(square inch per square feet) *24 (area of rectangle in square feet) - 9 years agoHelpfull: Yes(0) No(0)
- 4ft here 1ft=12 inches 4*12=48 in 4inches here 1/2 inche square needed is 24
6 feet wide so 6*12=72 in72 we need 36 so 24*36=13824 - 9 years agoHelpfull: Yes(0) No(0)
- 1ft=12inches, dimensions of rectangle become 48inch*72inch = 3456 sq.inches of total area. Small square has area 0.25 sq.inches.
so, 3456/0.25= 13824......ANS. - 9 years agoHelpfull: Yes(0) No(0)
- After cutting XI in two equal part we get VI.
- 9 years agoHelpfull: Yes(0) No(0)
- 6*4=24 area of rectangle
1/2*1/2=1/4 area of one square
*x=area of rectangle
so,1/4*x=24
so x=96
- 9 years agoHelpfull: Yes(0) No(0)
- no of squares=(area of rectangle)/(area of square)
(48*72) /(0.25) in ft
13824. - 9 years agoHelpfull: Yes(0) No(0)
- in 1ft there are 12 inches so in 4ft squares will be 96
similarly in 6ft squares will be 144
hence 96*144 = 13824 - 9 years agoHelpfull: Yes(0) No(0)
- d is a answer
- 8 years agoHelpfull: Yes(0) No(0)
- in 4 ft side 48 inches
in 6 ft side 72 inches
no of squares in 4 ft side 96
no of squares in 6 ft side 144
ans=96*144=13824 - 7 years agoHelpfull: Yes(0) No(0)
- 1ft =12 inch
4ft=48 inch,6ft=72 inch.let the no.of squares be 'x'.
(12)*(1/2)*x=48*72
x=2*2*48*72
x=13824
answer is D=13824 - 7 years agoHelpfull: Yes(0) No(0)
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