Answer:
<h2>Area = 90 cm²</h2><h2>Perimeter = 53 cm</h2>
Step-by-step explanation:
area and perimeter of the given diagram
<u>area = 1/2 * base * height</u>
where base = 15 cm
height = 12 cm
plugin values into the formula
area = 1/2 * 15 * 12
area = 90 cm²
<u>Perimeter = add up all sides (AB + AC + BC)</u>
where side BC = √(5² + 12²)
BC = 13 cm
Perimeter = 25cm + 15 cm + 13 cm
Perimeter = 53 cm
You can work out the diagonal by using Pythagoras theorem. (a^2 = b^2 + c^2)
As it is a square, all 4 sides are the same so it would be:
11.2^2 + 11.2^2 = diagonal^2
250.88 = diagonal^2
Square root both sides to get what the diagonal is equal to.
diagonal is 15.8 cm
First you need to set up a formula. Underline all of your givens:
<u>Spent 1/2 on clothes
$6 more for washing windows
Ended with $10.
</u>
now you need to set up an equation.
<u>
</u>You know she ended up with $10. So that will be what it equals. Then you know that she earned $6 in addition to her allowance. So this would be (x= allowance) (x+6)/2 = 10.
<u>
</u>Now you need to solve for x.
Multiply both sides by 2.
<u>
</u>x+6=20<u>
</u>Now subtract both sides by 6 to get x alone:
<u>
</u>x=$14<u>
</u><u>
</u>
