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Answer :
Final answer:
The perimeter of rectangle QRST is found to be 8.4 cm by using the perimeter formula for rectangles and the given side lengths, taking into account that opposite sides of a rectangle are equal.
Explanation:
To find the perimeter of rectangle QRST given that QR measures 1.8 cm, QP measures 1.5 cm, and QT measures 2.4 cm. To solve this, we first observe that QRST is a rectangle, and as such, opposite sides are equal in length. Therefore, QS equals QR, and TS equals QT. Knowing that diagonals of a rectangle are equal, we also know that PT equals QP. Thus QT or TS, which is the length of one of the longer sides of the rectangle, is 2.4 cm.
To find the perimeter of the rectangle, we apply the formula for the perimeter of a rectangle, which is P = 2(length + width). Now we substitute QR for the width and QS (equivalent to QR) for the length:
- P = 2(QR + QS)
- P = 2(1.8 cm + 2.4 cm)
- P = 2(4.2 cm)
- P = 8.4 cm
Therefore, the perimeter of rectangle QRST is 8.4 cm.
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