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2 years ago

The figure is made up of a square and a rectangle. Find the area of the shaded region.

Mathematics

2 answers:

Viefleur [7K]2 years ago

6 0

Answer:

40 square metres

Step-by-step explanation:

The shaded region is of a triangle, whose area is denoted by: A = (1/2) * b * h, where b is the base and h is the height.

Since the left figure is a square with side lengths 10, we know that the height of the triangle is also 10 metres. The right figure is a rectangle with length 4. Since the total base length of the entire figure is 18 and the base of the square is 10, then the width of the rectangle is 18 - 10 = 8 metres.

This width is also the base of the triangle, so b = 8.

Now plug these values into the equation:

A = (1/2) * b * h

A = (1/2) * 8 * 10 = (1/2) * 80 = 40

The area is 40 square metres.

zheka24 [161]2 years ago

5 0

Answer:

40 m²

Step-by-step explanation:

Area of any triangle:

½ × base × height

base = 18 - 10 = 8

height = 10

Area:

½ × 8 × 10

40 m²

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2 years ago

Read 2 more answers

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kakasveta [241]

Answer:

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2 years ago

Suppose that w and t vary inversely and that t = 5/12

Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that $w$ varies Inversely with $t$ thus generally speaking $w$ ∝ $\frac{1}{t}$ since they are inverted, <u>otherwise</u> if they were proportionally varied then $w$ ∝ $t$ . This means that there is a constant value ( $a$ ) for which $w$ is inversely proportional to $t$ and can be mathematically expressed as:

$w=\frac{a}{t}$ Eqn. (1)

Now since we are given the values of $w=4$ and $t=\frac{5}{12}$ , we can plug them in Eqn. (1) and find our constant of proportionality $a$ as follow:

$w=\frac{a}{t}\\ \\a=wt\\\\a=(4)(\frac{5}{12} )\\\\a=\frac{5}{3}$

Now that we have our constant we can find the new $t$ value for the second value of $w=5$ as follow:

$w=\frac{a}{t} \\\\t=\frac{a}{w}\\ \\t=\frac{\frac{5}{3} }{5}\\\\t=\frac{5}{15}\\ \\t=\frac{1}{3}\\$

Therefore based on the options give, we can see that Option B. is correct since

$t=\frac{5}{3w}$ and for $w=5$ , then $t=\frac{1}{3}$

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2 years ago

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