Question

suppose the length and width of the rectangle are doubled. what is the new perimeter? f 120 cm g 92 cm h 76 cm j 46 cm

Explanation:

Step1: Recall perimeter formula

The perimeter formula for a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width. Initially, $l = 15$ cm and $w = 8$ cm.

Step2: Calculate initial perimeter

$P_1=2(15 + 8)=2\times23 = 46$ cm.

Step3: Find new length and width

The length and width are doubled. New length $l_2=2\times15 = 30$ cm and new width $w_2=2\times8 = 16$ cm.

Step4: Calculate new perimeter

$P_2=2(30 + 16)=2\times46=92$ cm.

Answer:

G. 92 cm