Answer:
The length of the rectangle is 12cm and the area of the rectangle is 60cm2.
Explanation:
By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.
Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse. a2+b2=c2
52+b2=132
25+b2=169
25−25+b2=169−25
b2=144
√b2=√144
b=±12
Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is 12 cm.
The area of a rectangle is given by multiplying the width by the length.
A=(5cm)(12cm)
A=60cm2
0.375 is the answer because there are 3 0's in COLORADO and 8 letter's in total. The fraction part would be 3/8 and in decimals it is 0.375.
Answer:
195.6
Step-by-step explanation:
area of base= 1/2 * 8 * 6.9 = 27.6
area of lateral face= 1/2 * 8 * 14 = 56
total surface area = 27.6 + 56 + 56 + 56 = 195.6
Answer:
5
Because, five can go into 5, 35 and 70. Nothing else bigger can. If we went bigger we would be going over five.
Hope this helps :)
Given :
Every square meter of ceiling requires 10.75 tiles.
To Find :
Number of tiles required at :
Ceiling area Number of tiles
1
10
100
Solution :
For, 1 :
Number of tiles required, n = 10.75 tiles.
For, 10 :
Number of tiles required, n = 10.75 × 10 = 107.5 tiles.
For, 100 :
Number of tiles required, n = 10.75 × 100 = 1075 tiles.
Hence, this is the required solution.
