Question

1. which statement about the figures is true? figure 1 figure 2 15 20 4 3 a. they both have the same area. b. they both have the same width. c. they both have the same length. d. they both have the same perimeter.

Explanation:

Step1: Calculate the area of Figure 1

The area formula for a rectangle is $A = l\times w$. For Figure 1 with length $l = 15$ and width $w = 4$, $A_1=15\times4 = 60$.

Step2: Calculate the area of Figure 2

For Figure 2 with length $l = 20$ and width $w = 3$, $A_2=20\times3=60$.

Step3: Calculate the perimeter of Figure 1

The perimeter formula for a rectangle is $P = 2(l + w)$. For Figure 1, $P_1=2(15 + 4)=2\times19 = 38$.

Step4: Calculate the perimeter of Figure 2

For Figure 2, $P_2=2(20 + 3)=2\times23 = 46$.
The lengths ($15
eq20$) and widths ($4
eq3$) and perimeters ($38
eq46$) are different, but the areas are the same.

Answer:

A. They both have the same area.