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?

The dimension is 8ft by 7ft

Step-by-step explanation:

Given data

Length l =  

Width w=  

the area  is expressed as  

collecting like terms we have

hence our expression for area is

given that the area is  to solve for the sides we need to first solve fot t

equating the expression for area to 56 we can solve for t

taking the constant term to the other side and solve we have

we can substitute two factors for 7t that when multiplied we give -60 and when added we give 7  these factors are 15 and -8

t=4  hence the length is

hence the width  is

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc