Answer:
A
Explanation:
the area (A) of a rectangle is calculated as
A = length × width
let the width be w then length is w + 3
the opposite sides of a rectangle are congruent
given perimeter = 46 , then
2w + 2(w + 3) = 46 ← distribute parenthesis on left side and simplify
2w + 2w + 6 = 46
4w + 6 = 46 ( subtract 6 from both sides )
4w = 40 (divide both sides by 4 )
w = 10
thus width = 10 cm and length = w + 3 = 10 + 3 = 13 cm
substituting values into formula for area (A)
A = 13 × 10 = 130 cm²