Rectangle abcd is congruent to rectangle urst.
rectangles a b c d and u r s t are congruent. the length of sides a b is 9 millimeters and the length of sides r s is 15 millimeters.
what is the area of rectangle urst?
24 mm
48 mm
135 mm2
144 mm2

The area of rectangle URST is 135 mm² ⇒ 3rd answer

Step-by-step explanation:

- Congruent rectangles have same lengths of sides, same measures

 of angles and same areas and same perimeters

- Rectangle ABCD is congruent to rectangle URST

- The length of sides A B is 9 millimeters and the length of sides R S is

  15 millimeters

- We need to find the area of rectangle URST

∵ Rectangle ABCD ≅ rectangle URST

∴ AB = UR , BC = RS , CD = ST , AD = UT

∵ AB = 9 millimeters

∴ UR = 9 millimeters

- The area of any rectangle = l × w, where l, w are its dimensions

- In rectangle URST

∵ UR = 9 millimeters

∵ RS = 15 millimeters

- Assume that UR = l and RS = w

∴ The area of rectangle URST = UR × RS

∴ The area of rectangle URST = 9 × 15 = 135 millimeters²

* The area of rectangle URST is 135 mm²

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80