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
Answer:{ 2x+y=7 x−2y=6
Step-by-step explanation:
The number of miles for which the car has been driven if one paid $122.50 as in the task content is; 2.5 miles.
<h3>For how many miles was the car driven?</h3>
It follows from the task content that the total amount paid was; $122.50.
Hence, after subtraction the constant charges, for the day and for gas, the remainder is;
$122.50 - $50 - $35
= $37.50.
Ultimately, if the charge per mile is $15, then the number of miles driven is; $37.50/$15
= 2.5 miles.
Read more on cost per unit;
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<span>A rectangle has a length the area of the rectangle is 180(2w-9=180).Find the length and the width of the rectangle. Find the perimeter of the rectangle</span>
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