These trapezoids are similar. find the area of the larger trapezoid to the nearest whole number.

The area of larger trapezoid = 122 m²

Step-by-step explanation:

It is given two similar trapezoids.

The length of small trapezoid =12 m

The length of larger trapezoid = 18 m

Area of small trapezoid = 54 m²

To find the area of larger trapezoid

We know that if two trapezoids are similar, then the ratio of its area is equal to square of its lengths.

Let L₁ be the length and A₁ be the area  of small trapezoid and,

L₂ be the length  and A₂ be the area of larger trapezoid.

L₁= 12 m, L₂ = 18 m A₁ = 54 m², A₂ = ?

A₁/A₂ = L₁²/L₂²

54/A₂ = 12²/18²

A₂  = 54 * 324/144

A₂   = 121.5 ≈ 122 ²

step-by-step explanation:

milk=16 large

soda=280 kids

juice box=82 regular

63 soda +63 regular

124 large total