Question

. Karen is building a model of the Lincoln Memorial for her History class. She found online that the building measures 204 feet long, 134 feet wide and 99 feet tall. She wants her model to be 1/100 of the original. What will the area of her base be rounded to the nearest foot?

Answer 1

3 square feet

Explanation:

The area of the base can be calculated as

`A_(base)=\text{width}\cdot \text{length}.`

The building measures 204 feet long and 134 feet wide. Since the model has to be 1/100 of the original, then the width is
`204\cdot (1)/(100)=2.04` ft and the length is
`134\cdot (1)/(100)=1.34` ft.

Thus, the area of her base is

`A_(base)=2.04\cdot 1.34=2.7336\approx 3\ ft^2.`

Answer 2

3 ft²

Explanation:

Karen's model will be 204 ft × 1/100 = 2.04 ft long and 134 ft × 1/100 = 1.34 ft wide. The area of the base of this model is the product of these lengths:

area = (2.04 ft)×(1.34 ft) = 2.7336 ft² ≈ 3 ft²