A and B are two similar 2D shapes

Mathematics

1 answer:

Alexandra [31]3 years ago

7 0

Answer: $312.5\ cm^2$

Step-by-step explanation:

Given

A and B are two similar shape with lengths of 12 cm and 15 cm

A has an area of $200\ cm^2$

For similar figures, ratio of the square of corresponding length is equal to the ratio of the area

$\Rightarrow \dfrac{200}{A_b}=\dfrac{12^2}{15^2}\\\\\Rightarrow A_b=\dfrac{15^2}{12^2}\times 200\\\\\Rightarrow A_b=312.5\ cm^2$

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What is unitary method?

We can solve this question by unitary method.
The unitary method is a method of finding the value of one unit and then finding the value of the required number of units. While solving a problem it is important to recognize the units and values.

In this question, 10 tacos cost $105.
Let's represent the cost of 1 taco as $x$
10 tacos =$ 105
1 taco = $x$
10 $x$ = 105
$x$ = $\frac{105}{10}$