MULTIPLE CHOICE. Choose the one alternative that best completes the statement or

Question

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 4 feet longer than the length of a shelf. If 26 feet of lumber is available for the entire unit (including the shelves, but NOT the back of the bookcase), find the length and height of the unit - shelf lengthH height A) length- 3 ft; height 12ft B length 11.0 ft; height 13.5 ft C) length -3 ft; height 7f D) length -4.5 ft; height -8.5 ft

Explanation / Answer

Let, x and y be the shelf length and height of the bookcase respectively.

Then, by given condition, y-x = 4........(i)

4x+2y = 26.........(ii)

Multiplying (i) by 2 and then subtract from (ii) we get,

(4x+2y)-(2y-2x) = 26-8

i.e., 6x = 18

i.e., x = 18/6

i.e., x = 3

Putting this value in (i) we get, y-3 = 4

i.e., y = 7

Hence, the shelf length = 3 ft and the height = 7 ft.

Option C is correct.

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.