Mathematics: The ratio of the corresponding sides of two similar triangles is 4: 9. the length of the smaller rectangle is 16 cm and its width is 12 cm. what is the perimeter of the larger rectangle

The ratio of the corresponding sides of two similar

wickedskatboarder

12.03.2022

The perimeter of the larger rectangle is 126 cm.

Explanation

The ratio of the corresponding sides of two similar rectangles is 4:9

Given that, the length of the smaller rectangle is 16 cm and its width is 12 cm

Lets assume, the length and width of larger rectangle are and respectively.

(Length of smaller / Length of larger) = 4 : 9

$\frac{16}{x}=\frac{4}{9}\\ \\ 4x = 16*9\\ \\ 4x= 144 \\ \\ x= \frac{144}{4}=36$

So, the length of larger rectangle is 36 cm.

(Width of smaller / Width of larger) = 4 : 9

$\frac{12}{y}=\frac{4}{9}\\ \\ 4y= 12*9\\ \\ 4y= 108\\ \\ y= \frac{108}{4}=27$

So, the width of larger rectangle is 27 cm.

Thus, the perimeter of the larger rectangle =2(length+width)= 2(36+27)= 2(63)=126 cm.

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leylaanddade

15.10.2022

Company B (1.80)

Step-by-step explanation:

1.04= 4% Increase

1.80= 80% Increase

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