A rectangle has a length of 25 cm and a width of 12.25 cm. A larger, similar rectangle has width 49 cm. What is the length of the larger rectangle?(1 point)
Responses
98 cm
4 cm
100 cm
24.01 cm
△CDE∼△PQR . CD=9 m , EC=15 m , PQ=15 m . What is the length of RP¯¯¯¯¯¯¯¯ ?(1 point)
Responses
30 m
30 m
9 m
9 m
25 m
25 m
0.6 m
To find the length of the larger rectangle, we can use the concept of similarity. Similar figures have proportional sides.
The ratio of the length of the larger rectangle to the length of the smaller rectangle should be equal to the ratio of the widths.
So, the ratio of the lengths is ?? / 25 = 49 / 12.25
To find ??, we can cross multiply:
12.25 * 49 = 25 * ??
?? ≈ 24.01
Therefore, the length of the larger rectangle is approximately 24.01 cm.
To find the length of the larger rectangle, we can use the concept of similarity. Similar shapes have proportional sides.
In this case, we have two similar rectangles. The ratio of the lengths of the two rectangles will be the same as the ratio of their widths.
The width of the smaller rectangle is 12.25 cm, and the width of the larger rectangle is 49 cm.
To find the length of the larger rectangle, we can set up a proportion:
(length of larger rectangle) / (width of larger rectangle) = (length of smaller rectangle) / (width of smaller rectangle)
Let's plug in the values:
x / 49 cm = 25 cm / 12.25 cm
To solve for x, we can cross-multiply and then divide:
x = (25 cm / 12.25 cm) * 49 cm
x = 100 cm
So, the length of the larger rectangle is 100 cm.