Answer:
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
* <em>The area of rectangle URST is 135 mm²</em>
