Renata and ben each have 32 feet of wood for framing their rectangular murals. Renata makes her frame 18 ft high. Ben makes his frame 5 ft high. Whose mural has the greater area? How much greater?

Respuesta :

Answer: Renata, [tex]416\ ft^2[/tex]

Step-by-step explanation:

Given

The base of rectangular wood is [tex]b=32\ ft[/tex]

The height of Renata frame is [tex]h_r=18\ ft[/tex]

The height of the ben frame is [tex]h_b=5\ ft[/tex]

The area of the rectangular frame is [tex]A=b\times h[/tex]

The area of Renata frame is [tex]A_r=32\times 18=576\ ft^2[/tex]

The area of the ben frame is [tex]A_b=32\times 5=160\ ft^2[/tex]

Clearly, the area of Renata is more by  [tex]576-160=416\ ft^2[/tex]