Eleanor and Max used two rectangular pieces of plywood, placed end-to-end, to make a long rectangular stage for the school play.

Question

3 years ago

13

Eleanor and Max used two rectangular pieces of plywood, placed end-to-end, to make a long rectangular stage for the school play.

One board was 7 feet long, and the other was 6 1/2 feet long. The two pieces of plywood had equal widths. The total area of the stage was 84 3/8 square feet. What was the width of the plywood?

Mathematics

1 answer:

Flauer [41] · Answer 1 · 2022-04-11T19:39:54+03:00

Answer:the width of plywood = 6.25 feet wide or 6 1/4 feet wide

Step-by-step explanation:

Step 1

Area of a rectangular plywood = length x width

Area of Ist Plywood= 7 x w

Area of 2nd Plywood= 61/2 x w=6.5 xw

But Total Arae of trhe two Plywoods are = 84 3/8 square feet.

Therefore Our equation to solve the problem becomes

Area of Ist Plywood + Area of 2nd Plywood =84 3/8 square feet.

7w + 6.5w = 84 3/8

13.5w= 84 3/8

w = 84 3/8/13.5

675/8 / 13.5

w=6.25

Therefore the width of plywood = 6.25 feet wide or 6 1/4 feet.