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2 years ago

What is the area of the figure?

Mathematics

1 answer:

hichkok12 [17]2 years ago

8 0

Answer:

58.5 ft²

Step-by-step explanation:

The figure is made up of a square, triangle and rectangle. Thus, the area of the figure is the sum of the areas of the square, triangle and rectangle.

Let's find the area of each!

<u>Square</u>

Area of square= side ×side

Area

= 3(3)

= 9 ft²

<u>Triangle</u>

Area of triangle= ½ ×base ×height

Base= 11 ft

Height= 3 ft

Area

= ½(11)(3)

= 16.5 ft²

<u>Rectangle</u>

Area of rectangle= length ×breadth

Area

= 3(11)

= 33 ft²

Area of figure

= 9 +16.5 +33

= $\textcolor{red}{58.5 \: {\text{ft}} {}^{2} }$

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brainly.com/question/13750982

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2 years ago

Ajax is 5 and 1 fourth feet tall. His sister is 3 eighths foot shorter than Ajax How tall is Ajax Sister?

user100 [1]

Answer:

$4\frac{3}{4}$ feet tall

Step-by-step explanation:

Ajax is "5 and 1 fourth feet tall", which can be written as the mixed number $5\frac{1}{4}$ .

His sister is "3 eighths foot shorter", so she's 3/8 feet shorter than 5 1/4.

So, this is just a subtraction problem:

$5\frac{1}{4} -\frac{3}{8}$

To solve this, we want to convert 5 1/4 into an improper fraction, which is: $\frac{21}{4}$ . Now, we want to find a common denominator. In this case, that common denominator is 8, so $\frac{21}{4} =\frac{42}{8}$ .

Finally, we subtract 3/8 from 42/8: $\frac{42}{8} -\frac{3}{8} =\frac{39}{8}$ . So, Ajax's sister is 39/8 feet. Converting this into a mixed number, we have: 39/8 = 4 $\frac{6}{8} =4\frac{3}{4}$ .