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Jet001 [13]
3 years ago
12

HELPPPP FASTTTTTT PLZZZ

Mathematics
1 answer:
Rainbow [258]3 years ago
6 0

The unknown length, x, in the smaller quadrilateral is 3 cm

<em><u>Solution:</u></em>

Given that,

<em><u>The proportion can be solved to find the unknown length , x, in the smaller quadrilateral</u></em>

<em><u>Given proportion is:</u></em>

\frac{x}{1.5} = \frac{9}{4.5}

We have to find the value of "x"

From given proportion,

\frac{x}{1.5} = \frac{9}{4.5}

Cross multiply the numerator of left side fraction with denominator of right side fraction

Multiply the numerator of right side fraction with denominator of left side fraction

Solve for x

x \times 4.5 = 9 \times 1.5\\\\4.5x = 13.5\\\\x = \frac{13.5}{4.5}\\\\x = 3

Thus unknown length, x, in the smaller quadrilateral is 3 cm

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Answer:

a.\ \ \ A=684\ m^2

b.\ \ \ A=130.2 \ km^2

Step-by-step explanation:

a. Area is calculated by summing the areas of the prism's individual surfaces.

#First, calculate the areas of the right-angled surfaces:

Area=2(\frac{1}{2}bh), b=9, h=12\\\\=2\times \frac{1}{2}\times 9\times 12\\\\=108\ m^2

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b.Area is calculated by summing the areas of the prism's individual surfaces.

#First, calculate the areas of the right-angled surfaces:

A=2\times \frac{1}{2}bh,\ b=12, h=4.1\\\\=2\times 0.5\times 12\times 4.1\\\\=49.2 \ km^2

#We then find the areas of the rectangular surfaces:

A=lw\\\\=5\times 3+3\times 10+12\times 3\\\\=81\ km^2

#We sum the areas to find the total surface areas:

A=A_r+A_t\\\\=81+49.2\\\\=130.2 \ km^2

Hence, the prism's surface area is  130.2 \ km^2

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