Answer:
The rectangle's area is 48 square meters
Step-by-step explanation:
Recall that the perimeter of a rectangle of base b and height h is given by the formula:
Perimeter = 2 b + 2 h
we know that the perimeter is 28 meters, then we can create our first equation;
2 b + 2 h = 28
which means:
2 (b + h) = 28
b + h = 28/2
b + h = 14
the tell us that the diagonal is 10 meters, so we use the Pythagorean theorem to write a second equation using the rectangle's base, height, and diagonal (which form in between the three a right angle triangle where the hypotenuse is the rectangle's diagonal:
So, we can use the equation : b + h = 14 to write one variable in terms of the other one and use it as substitution in the second (quadratic) equation:
h = 14 - b
then:
which we have reduced at the end by dividing both sides by 2.
we can use factoring to solve these equation;
Se we find two possible solutions: b = 6 m or b = 8 m
If we call b = 8 m, then the height becomes h = 14 - (8) = 6 m
and viceversa.
So a rectangle with such dimensions will render an area that equals :
Area = b x h = 8 x 6 = 48 square meters.
No change in area if sides of rectangle are equal.
Hope this helps.
No, 0.47 is rounded to the nearest 10th
Answer:
m<A = 84
AC = 9
Step-by-step explanation:
We can find the measure of Angle A by using the sum of interior angles of a triangle theorem.
48+48+A=180
96+A=180
A=84
We can then use the isosceles triangle similarity theorem and reason that since this is an isosceles triangle and one of the side lengths (AB) is 9, the other (AC) would also be 9.
Answer:
80 pieces of wire.
Step-by-step explanation:
It may not come out evenly. If there is a remainder, it won't matter. Just throw it away and go with the integer answer.
Change 3 3/4 to a decimal
3.75
Change the 25 foot roll to inches.
25 feet * 12 inches / foot = 300 inches.
Now how many pieces of wire do we get.
1 piece of wire/3.75 inches = x pieces of wire / 300 inches
3.75 * x = 300
3.75 * x / 3.75 = 300 / 3.75
x = 80