Answer:
9 centimeters
Step-by-step explanation:
Let the width be represented by l - 5, where l is the length.
Use the area formula, A = lw, and plug in l - 5 as w, and 36 as the area. Then, simplify and factor
A = lw
36 = l(l - 5)
36 = l² - 5l
0 = l² - 5l - 36
Factor:
(l - 9)(l + 4)
Set equal to zero and solve for both solutions:
(l - 9)(l + 4) = 0
l - 9 = 0
l = 9
l + 4 = 0
l = -4
The length cannot be negative, so the answer has to be 9.
The length is 9 centimeters
Answer: 36 units squared.
Explanation:
Area of a traingle is given by,
| 0.5{x1(y2-y3) + x2(y3-y1) + x3(y1-y2)} |
Accepting the values of the coordinates in x's and y's,
x1 =0, y1=0
x2=3, y2=8
x3 =9, y3=0
= | 0.5 × (-72)|
= 36 unit squared.
Answer:
The area of the figure is 28 units².
Step-by-step explanation:
Find the area of the full rectangle, ignoring the triangle.
Then, find the area of the triangle:
Finally, subtract:
Answer:
$1,701.64
Step-by-step explanation:
(see attached for reference)
recall that for compound interest, the following formula applies:
A = P [1 + (r/n) ] ^ (nt), where
A = final amount (we are asked to find this)
P = Principal amount = $1,200
r = interest rate = 5% = 0.05
t = 7 years
n = 12
Substituting these into the equation,
A = 1200 [1 + (0.05/12) ] ^ [(12)(7)]
A = $1,701.64