Respuesta :
Answer:
a. area of the football field = 40ײ + 240x + 200 ft²
b. area = 57600 ft²
Step-by-step explanation:
The football field is rectangular in shape . Therefore, the area of the football field is the product of length and width.
length = 10x + 10
width = 4x + 20
area of the football field = (10x + 10)(4x + 20)
area of the football field = 40ײ + 200x + 40x + 200
area of the football field = 40ײ + 240x + 200
The standard form polynomial simply implies that the terms are ordered from the largest exponent to the smallest exponent. Therefore the standard form will be
area of the football field = 40ײ + 240x + 200 ft²
b. area of the football field when width is 160 ft.
The width of the field = 4x + 20. Therefore
160 = 4x + 20
4x = 160 - 20
4x = 140
divide both sides by 4
x = 140/4
x = 35
area = length × width
area = (10x + 10) × 160
where
x = 35
area = (350 + 10) × 160
area = 360 × 160
area = 57600 ft²
a. area of the football field = 40ײ + 240x + 200 ft²
b. area = 57600 ft²
- The calculation is as follows:
length = 10x + 10
width = 4x + 20
So,
area of the football field = (10x + 10)(4x + 20)
= 40ײ + 200x + 40x + 200
= 40ײ + 240x + 200
b. area of the football field when width is 160 ft.
The width of the field = 4x + 20.
So,
160 = 4x + 20
4x = 160 - 20
4x = 140
x = 35
area = length × width
= (10x + 10) × 160
= (350 + 10) × 160
= 360 × 160
= 57600 ft²
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