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Komok [63]
3 years ago
7

Mario is constructing a frame for 10 in. by 8 in. photo. He wants the frame to be the same with all the way around in the same a

rea of the frame and photo to be 120 square inches
What is the dimension of the frame?
Mathematics
1 answer:
Yuri [45]3 years ago
5 0

Answer: 12 in. by 10 in.

Step-by-step explanation:

Given: The dimensions of photo is 10 in. by 8 in.

Therefore, Area of photo= 10\times8=80\ in.^2

Area of frame with photo=120 square inches

Let x be the width of the frame, then we have

Length of frame with photo= 10+2x inches

Width of frame with photo =8+2x inches

Now, (10+2x)(8+2x)=120

80+16x+20x+4x^2=120\\\Rightarrow\ 4x^2+36x-40=0\\\Rightarrowx^2+9x-10=0\\\(x-1)(x+10)=0\\\Rightarrow\ x=1,...........[text{Since length can not be negative so it cannot be -10}]

Thus, dimension of frame = (10+2(1))(8+2(1))=12\ in.\ by\ 10\ in.

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