Mathematics, 27.06.2019 07:10 mdaniella522

What is the area of this composite shape?

Answers: 2

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Answer from: 400516

51 in² is the area of the shape.

Step-by-step explanation:

Note that there is a triangle, as well as a Parallelogram.

First, solve for the measurement for the Parallelogram. The Parallelogram has sides that measure 6 in. & 7 in. respectively.

Note the measurement of the left length, which is 13. The right length is 7. To solve for the length of the triangle, subtract the two:

13 - 7 = 6

The triangle length is 6.

To solve for the triangle width, subtract the part from the total:

6 - 3 = 3

The triangle width is 3.

Note that the area of the triangle is found using the formula: Area = 1/2base x height (or length x width). Plug in the corresponding numbers to the corresponding variable.

A = 1/2(3)(6)

A = (3)(3)

A = 9

The triangle's area is 9 in².

Solve for the area of the parallelogram:

6 x 7 = 42

The parallelogram's area = 42 in².

Add the two measurements together:

42 + 9 = 51

51 in² is the area of the shape.

Answer from: katey6934

The above composite shape can be divided into :

● A Rectangle with Length 7 in. and Width 6 in.

● A Right angled Triangle with base 3 in. and height 6 in.

Let us first find the Area of Rectangle :

We know that - Area of a Rectangle is given by : Length × Width

$:\implies$ Area of Rectangle = (7 × 6) in²

$:\implies$ Area of Rectangle = 42 in²

Now, Let us find the Area of Right angled Triangle :

$\mathsf{We\;know\;that - Area\;of\;a\;Triangle\;is\;given\;by : \dfrac{1}{2} \times base \times height}$

$\implies \mathsf{Area\;of\;Right\;angled\;Triangle = \dfrac{1}{2} \times 3 \times 6\;(in^2)}$

$:\implies$ Area of Right angled Triangle = (3 × 3) in²

$:\implies$ Area of Right angled Triangle = 9 in²

Area of the Composite shape :

● Area of Rectangle + Area of Right angled Triangle

$:\implies$ Area of the Composite shape = (42 + 9) in²

$:\implies$ Area of the Composite shape = 51 in²

What is the area of this composite shape?

Answer from: Quest

c. x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

$\frac{little}{big} =\frac{side mn}{side ab}=\frac{side on}{side cb}$ .