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28 April, 14:03

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

+1
Answers (2)
  1. 28 April, 14:24
    0
    the answer is C
  2. 28 April, 15:52
    0
    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
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