The area of a rectangle is 192 in2. The ratio of the length to the width is 4:3. Find the length and the width.

Step-by-step explanation:

let the length and breadth's ratio be 4x and 3x

Given,

area of rectangle = 192 in²

we know,

Area of rectangle = L × B/w

after inserting the values in the formula we got,

→ 4x × 3x = 192

→ 12x² = 192

→ x² = 192/12 = 16

→ x² = 16

→ x = √16 = 4

→ x = 4

therefore , length and breadth/width are,

length = 4x = 4×4 = 16

width = 3x = 3×4 = 12

hence length is 16 in. and width is 12in.

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