GuideFoot - Learn Together, Grow Smarter. Logo

In Mathematics / Middle School | 2014-11-10

The two figures are similar.

Find the ratios of the perimeters and of the areas.

Given:
- The width of one rectangle is 8.
- The width of the other rectangle is 3.

Asked by JosieJoFord

Answer (2)

The ratio of the perimeters of two similar rectangles with widths 8 and 3 is 8:3, and the ratio of their areas is 64:9, since the ratio of the areas is the square of the ratio of the corresponding sides.

Ratios of Perimeters: For two similar figures, the ratios of their perimeters are equal to the ratio of their corresponding sides. In this case, the ratio of perimeters would be 8/3.
Ratios of Areas: The ratio of areas for similar figures is the square of the ratio of their corresponding sides. So, the ratio of the areas would be (8/3)^2.

Answered by DimahiS | 2024-06-24

The ratio of the perimeters of the two rectangles is 8:3, while the ratio of the areas is 64:9, being the square of the ratio of the widths.
;

Answered by DimahiS | 2025-06-17

Related Questions in Mathematics

📝 Answered - Select the correct answer. Which equation is equivalent to the given equation? [tex]$x^2-6 x=8$[/tex] A. [tex]$(x-6)^2=44$[/tex] B. [tex]$(x-3)^2=17$[/tex] C. [tex]$(x-6)^2=20$[/tex] D. [tex]$(x-3)^2=14$[/tex]

📝 Answered - Which phrase best describes the translation from the graph [tex]y=6 x^2[/tex] to the graph of [tex]y=6(x+1)^2[/tex]? A. 6 units left B. 6 units right C. 1 unit left D. 1 unit right

📝 Answered - What expression is equivalent to [tex]$\left(5 z^2+3 z+2\right)^2$[/tex] ? A. [tex]$5 z^4+3 z^2+4$[/tex] B. [tex]$5 z^4+9 z^2+4$[/tex] C. [tex]$25 z^4+30 z^3+19 z^2+12 z+4$[/tex] D. [tex]$25 z^4+30 z^3+29 z^2+12 z+4$[/tex]

📝 Answered - The graph of [tex]y=\frac{5}{4} x+1[/tex] is shown below. The coordinate ([tex]0, y[/tex]) is a solution of the equation. Given the [tex]x[/tex]-value of 0, what is the value of the [tex]y[/tex]-coordinate for the coordinate ([tex]0, y[/tex])? [tex]y=[/tex] [blank]

📝 Answered - If [tex]f(-2)=0[/tex], what are all the factors of the function [tex]f(x)=x^3-2 x^2-68 x-120[/tex]? Use the Remainder Theorem. A. [tex](x+2)(x+60)[/tex] B. [tex](x-2)(x-60)[/tex] C. [tex](x-10)(x+2)(x+6)[/tex] D. [tex](x+10)(x-2)(x-6)[/tex]