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Chapter 10: Q. 150e (page 1206)

The width of a triangle is six more than twice the height. The area of the triangle is 88 square

yards. Find the height and width of the triangle.

Short Answer

Expert verified

height = 8 , width = 22

Step by step solution

01

Step 1. Given 

width of a triangle is six more than twice the height , area = 88 sq. yards

02

Step 2. finding height and width .

Let height of triangle = h

width of triangle = w

Now, according to question

w = 2h + 6.

Given ,

area=12(w)(h)=8812(2h+6)(h)=88h2+3h-88=0h2+11h-8h-88=0h(h+11)-8(h+11)=0(h-8)(h+11)=0h=8andh=-11(neglectingthisvalue)Thereforeheight=8andwidth=22.

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