259,689 views
2 votes
2 votes
Please HELP me!!!!! PLEASE!!!!!

Please HELP me!!!!! PLEASE!!!!!-example-1
User Jeehee
by
2.8k points

1 Answer

12 votes
12 votes

Answer:

A. 80 square feet

B. four options are 8×10 ft, 10×8 ft, 5×16 ft, 7 1/2×10 2/3 ft

Explanation:

The area of Jason's deck can be found using the formula for the area of a trapezoid. The dimensions of Sarah's deck can be found by considering the factors of the area of Jason's deck.

__

A. Jason

The area of a trapezoid is given by the formula ...

A = 1/2(b1 +b2)h

where b1 and b2 are the base lengths, and h is the perpendicular distance between them. Here, we have b1 = 16 ft, b2 = 4 ft, h = 8 ft, so the area is ...

A = 1/2(16 ft +4 ft)(8 ft) = 80 ft²

The area of Jason's deck is 80 square feet.

__

B. Sarah

The integer factor pairs of 80 are ...

80 = 1×80 = 2×40 = 4×20 = 5×16 = 8×10

For non-integer factor pairs, one can be found from the other by dividing 80 by the one given:

for a 7 1/2 ft deck, the other dimension is 80/7.5 = 10.66666... = 10 2/3

__

For a nearly square deck, Sarah could make hers ...

8 feet wide and 10 feet long

10 feet wide and 8 feet long

One with integer dimensions that would be somewhat narrower would be ...

5 feet wide and 16 feet long

If Sarah uses non-integer dimensions, she could make her deck ...

7 1/2 ft wide and 10 2/3 ft long

User YLG
by
2.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.