To find: the new dimension of mat on the top and bottom as well as left and right of painting.
The width of mat at top and bottom of painting is
The length of mat at left and right of painting is
Given:
A painting of rectangular shape measures 25 inches by 21 inches and area of mat is 714 square inches.
Concept Used:
Factoring method to find the roots of the
Area of rectangle
Calculation:
From the figure:
Length of mat and painting
Width of mat and painting
Given
Here, Applying the area of rectangle formula,
Solving this equation:
Applying the factoring method of quadratic equation:
Using Zero Product property:
So,
Here, Neglecting the value of
The width of mat at top and bottom of painting is
The length of mat at left and right of painting is
Conclusion:
The width of mat at top and bottom of painting is
The length of mat at left and right of painting is
Chapter 1 Solutions
Algebra 2: New York Edition (holt Mcdougal Larson Algebra 2)
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- 10) Multiply (8m + 3)² A) 8m²+11m+6 B) m² + 48m+9 C) 64m²+48m+9 D) 16m²+11m+6arrow_forwardLet R be field and X= R³/s Vector space over R M=(a,b,c)labic, e Rra+b= 3- <3 Show that Ms and why with proof. 1) is convexset and affine set of botost ii) is blanced set and symmetirs set of x iii) is hy per space and hyper plane ofx or hot iii) find f:MR st kerf = M 18/103 and finnd fiM→R/{0} st M= {xEX, f(t) = x, texiαER? jiii) show that Mis Maxsubspace or not and Mis a max. affine set or not.arrow_forwardFind The partial fraction decomposition for each The following 2× B) (x+3) a 3 6 X-3x+2x-6arrow_forward
- 1) Find the partial feraction decomposition for each of 5- X 2 2x+x-1 The following: 3 B) 3 X + 3xarrow_forwardT={(−7,1),(1,−1),(6,−8),(2,8)} Find the domain and range of the inverse. Express your answer as a set of numbers.arrow_forwardT={(−7,1),(1,−1),(6,−8),(2,8)}. Find the inverse. Express your answer as a set of ordered pairs.arrow_forward
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