finding area find the area of the figure described.
21. triangle with height 6 cm and base 5 cm
22. rectangle with length 12 yd and width 9 yd
23. square with side length 8 ft
24. circle with radius 10 m (use π ≈ 3.14.)
25. square with perimeter 24 m
26. circle with diameter 100 ft (use π ≈ 3.14.)
finding area find the area of the figure.
27.
28.
29.

Question

Accepted Answer

### 21.
# Explanation:
## Step1: Recall triangle - area formula
The formula for the area of a triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height.
## Step2: Substitute values
Given $b = 5$ cm and $h=6$ cm, then $A=\frac{1}{2}	imes5	imes6$.
## Step3: Calculate
$A = 15$ cm².
# Answer:
$15$ cm²

### 22.
# Explanation:
## Step1: Recall rectangle - area formula
The formula for the area of a rectangle is $A = lw$, where $l$ is the length and $w$ is the width.
## Step2: Substitute values
Given $l = 12$ yd and $w = 9$ yd, then $A=12	imes9$.
## Step3: Calculate
$A = 108$ yd².
# Answer:
$108$ yd²

### 23.
# Explanation:
## Step1: Recall square - area formula
The formula for the area of a square is $A=s^{2}$, where $s$ is the side - length.
## Step2: Substitute value
Given $s = 8$ ft, then $A = 8^{2}$.
## Step3: Calculate
$A=64$ ft².
# Answer:
$64$ ft²

### 24.
# Explanation:
## Step1: Recall circle - area formula
The formula for the area of a circle is $A=\pi r^{2}$, where $r$ is the radius.
## Step2: Substitute value
Given $r = 10$ m and $\pi\approx3.14$, then $A=3.14	imes10^{2}$.
## Step3: Calculate
$A = 314$ m².
# Answer:
$314$ m²

### 25.
# Explanation:
## Step1: Find side - length of square
The perimeter of a square is $P = 4s$. Given $P = 24$ m, then $s=\frac{P}{4}=\frac{24}{4}=6$ m.
## Step2: Find area of square
The area of a square is $A=s^{2}$. Substitute $s = 6$ m, then $A=6^{2}=36$ m².
# Answer:
$36$ m²

### 26.
# Explanation:
## Step1: Find radius of circle
The diameter $d = 2r$. Given $d = 100$ ft, then $r=\frac{d}{2}=50$ ft.
## Step2: Recall circle - area formula
The formula for the area of a circle is $A=\pi r^{2}$.
## Step3: Substitute values
Given $\pi\approx3.14$ and $r = 50$ ft, then $A=3.14	imes50^{2}=3.14	imes2500 = 7850$ ft².
# Answer:
$7850$ ft²

### 27. (Assume we can find base and height from the graph. If we assume base $b$ and height $h$ are measured in grid - units)
# Explanation:
## Step1: Recall triangle - area formula
$A=\frac{1}{2}bh$.
## Step2: Measure base and height
Suppose by counting grid - units, $b$ and $h$ are found. Then calculate $A=\frac{1}{2}bh$. (Without specific grid - unit values, we can't give a numerical answer. If we assume base $b = 4$ units and height $h = 3$ units)
$A=\frac{1}{2}	imes4	imes3=6$ square units.
# Answer:
(Depends on grid - unit measurement. If $b = 4$ and $h = 3$) $6$ square units

### 28. (Assume side - length of square can be found from the graph)
# Explanation:
## Step1: Recall square - area formula
$A=s^{2}$.
## Step2: Measure side - length
Suppose by counting grid - units, side - length $s$ is found. Then calculate $A=s^{2}$. (If we assume side - length $s = 3$ units)
$A = 3^{2}=9$ square units.
# Answer:
(Depends on grid - unit measurement. If $s = 3$) $9$ square units

### 29. (Assume radius can be found from the graph)
# Explanation:
## Step1: Recall circle - area formula
$A=\pi r^{2}$.
## Step2: Measure radius
Suppose by counting grid - units, radius $r$ is found. Then calculate $A=\pi r^{2}$. (If we assume radius $r = 1$ unit and $\pi\approx3.14$)
$A=3.14	imes1^{2}=3.14$ square units.
# Answer:
(Depends on grid - unit measurement. If $r = 1$) $3.14$ square units

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QUESTION IMAGE

Question

Explanation:

21.

Step1: Recall triangle - area formula

Step2: Substitute values

Step3: Calculate

Step1: Recall rectangle - area formula

Step2: Substitute values

Step3: Calculate

Step1: Recall square - area formula

Step2: Substitute value

Step3: Calculate

Answer:

22.