The floor of a hall has an area of 48 dm.The floor is to be tiled by triangular tiles.of sides 20 cm,30 cm and 40 cm. Find the total cost of tiles if cost of each tile is Rs.200.
Answers
The triangle is an obtuse triangle. No sides are equal. convert cm to dm
1 dm = 10 cm
side a: 20 cm ⇒ 20cm * 1dm/10cm = 20dm/10 = 2 dm side b: 30 cm ⇒ 30cm * 1dm/10cm = 30dm/10 = 3 dm side c: 40 cm ⇒ 40cm * 1dm/10cm = 40dm/10 = 4 dm
We need to get the area of a triangle, but first we need to solve for its height using Heron's formula
s = (a+b+c)/2 = (2+3+4)/2 = 9/2 = 4.5 Area = √(s(s-a)(s-b)(s-c) h3/2 = √4.5(4.5-2)(4.5-3)(4.5-4) h3/2 = √4.5(2.5)(1.5)(0.5) h3/2 = √8.44 h3/2 = 2.91 h = (2.91*2)/3 h = 1.94
A = hb/2 = (1.94*3)/2 = 5.82/2 = 2.91 dm²
48 dm² / 2.91dm² = 16.5 or 17 tiles needed
17 x Rs200 = Rs3,400 is the total cost
Kelvin saves $60 a day. Al saves $90 a day. How many times Kelvin's savings are Al's savings?
Answers
Kelvin's savings are 2/3 of Al's
How many times Kevin's savings are al's savings is 30 more
A store owner is stocking shelves.he places 37 eight-ounce packages of cheese on a shelf then he puts 24 ounce cheese on the same shelf how many pounds of cheese does he put on the shelf
Answers
There are 37 eight ounce of cheese. 37 times 8 = 296 ounces of cheese. There are 16 ounces in a pound, so divide. 296/16 = 18.5 pounds on the shelf.
Then he places 24 ounce of cheese on the shelf. Divide that by 16. 24/16 = 1.5 pounds.