Question

Find the area of a rectangle of width 12m and perimeter 96m
please explain step by step.​

Answer 1

Explanation:

Given, P = 96cm

b = 12m

P = 2(l + b)

96 = 2(l + 12)

96 = 2l + 24

2l = 96 - 24

2l = 72

l = 72/2

l = 36cm

Now, A = l×b

A = 36 × 12

A = 432 sqcm

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Answer 2

Answer:

432 m²

Explanation:

Using the formulas:

Area = width × length

Perimeter = 2(length + width)

Solving for length using perimeter formula:

96 = 2 ( l + 12)

48 = l + 12

l = 48 - 12

= 36 m

Substitute length in area formula:

A = 12 × 36

= 432 m²