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Chapter 3: Q39. (page 127)

Challenge The figure shown is composed of a triangle and a rectangle. The figure has a total area of 1258 square units. Find the value of x.

Short Answer

Expert verified

The value of x is 10.09 units

Step by step solution

01

Step-1 – Given

The total area is 1258 square units. The given figure is composed of a triangle with base 3x+1units and height 24 units and a rectangle with3x+1 units width and 25 units length.

02

Step-2 – To determine

We have to find the value of the x for the given figure.

03

Step-3 – Calculation

The total area is given by the equation,

25(3x+1)+12×(3x+1)×2=125875x+25+36x+12=1258[distributiveproperty]121x+37=1258[combineliketerms]121x+37−37=1258−37[subtract37fromeachside]121x=1221121x÷121=1221÷121[divideeachsidewithby121]x=10.09

Hence, the required value of x for the given figure is 10.09 units.

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