Ms. Ahmed has a rectangular garden where she grows tomatoes. The length of her garden is represented by t + 4 and the width by 2t - 1.

Express the area of Ms. Ahmed’s garden as a polynomial in standard form.

If the area of Ms. Ahmed's garden is 56 ft2, what are the dimensions of the garden?

area of the garden  as a polynomial in standard form = 2t² + 7t - 4

The dimension will be 8 ft by 7 ft.

Step-by-step explanation:

The area of a rectangular shape is the product of the length and the width. Ms Ahmed rectangular garden with a length represented as t + 4 and width of 2t - 1 ,  the area of the garden can be solved by multiplying both value.

Area of the garden = (t + 4)(2t - 1)

Area of the garden = 2t² - t + 8t - 4

Area of the garden = 2t² + 7t - 4

Expressing the area as a polynomial in standard form simply implies that the terms are express from the biggest exponent tot he lowest exponent. Therefore,

area of the garden  as a polynomial in standard form = 2t² + 7t - 4

When the area is 56 ft².

2t² + 7t - 4 = 56

2t² + 7t - 4 - 56 = 0

2t² + 7t - 60 = 0

fin the numbers you can multiply to give you -120 and add to give you 7. The numbers are 15 and -8. Therefore,

2t² + 15t - 8t - 60 = 0

t(2t + 15) -4(2t + 15) = 0

(t - 4)(2t + 15) = 0

t = 4 or -15/2

let use t = 4 as it is positive .

area =  (t + 4)(2t - 1)

area = (4 + 4 )(8 - 1)

area = 8 × 7 = 56 ft²

The dimension will be 8 ft by 7 ft.

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

answer: no

step-by-step explanation: because the big angle will spread away the 2 side that it is on and make the opposite side even longer.