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
<u>Answer:
</u>
The difference of (12f - 8g + 3h) -(4f – g + 5h) is 8f - 7g - 2h
<u>Solution:
</u>
From question given that the expression is
(12f - 8g + 3h) - (4f – g + 5h)
We have to find the difference of both the expressions.
By removing the parenthesis the above equation becomes,
12f - 8g + 3h - 4f + g - 5h
Separate the terms of f, g and h in above equation,
12f - 4f - 8g + g + 3h - 5h
On simplifying the above expression,
8f - 7g - 2h
Hence difference of (12f - 8g + 3h) - (4f – g + 5h) is 8f - 7g - 2h
4/3 = 20/x
cross multiply
4x = 60
x = 60/4
x = 15 clown fish
