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 Â
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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